Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [378,2,Mod(41,378)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(378, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([17, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("378.41");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 378 = 2 \cdot 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 378.z (of order \(18\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.01834519640\) |
Analytic rank: | \(0\) |
Dimension: | \(144\) |
Relative dimension: | \(24\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 83.1 | ||
Character | \(\chi\) | \(=\) | 378.83 |
Dual form | 378.2.z.a.41.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/378\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(325\) |
\(\chi(n)\) | \(e\left(\frac{1}{18}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.984808 | − | 0.173648i | −0.696364 | − | 0.122788i | ||||
\(3\) | −1.71625 | − | 0.233448i | −0.990875 | − | 0.134781i | ||||
\(4\) | 0.939693 | + | 0.342020i | 0.469846 | + | 0.171010i | ||||
\(5\) | −0.0848896 | + | 0.0712308i | −0.0379638 | + | 0.0318554i | −0.661572 | − | 0.749882i | \(-0.730110\pi\) |
0.623608 | + | 0.781737i | \(0.285666\pi\) | |||||||
\(6\) | 1.64964 | + | 0.527925i | 0.673461 | + | 0.215524i | ||||
\(7\) | −1.74235 | + | 1.99104i | −0.658545 | + | 0.752541i | ||||
\(8\) | −0.866025 | − | 0.500000i | −0.306186 | − | 0.176777i | ||||
\(9\) | 2.89100 | + | 0.801309i | 0.963668 | + | 0.267103i | ||||
\(10\) | 0.0959690 | − | 0.0554077i | 0.0303481 | − | 0.0175215i | ||||
\(11\) | 3.36170 | − | 4.00632i | 1.01359 | − | 1.20795i | 0.0355861 | − | 0.999367i | \(-0.488670\pi\) |
0.978005 | − | 0.208584i | \(-0.0668854\pi\) | |||||||
\(12\) | −1.53290 | − | 0.806360i | −0.442510 | − | 0.232776i | ||||
\(13\) | −3.05494 | + | 0.538668i | −0.847288 | + | 0.149400i | −0.580404 | − | 0.814329i | \(-0.697105\pi\) |
−0.266884 | + | 0.963729i | \(0.585994\pi\) | |||||||
\(14\) | 2.06162 | − | 1.65823i | 0.550990 | − | 0.443181i | ||||
\(15\) | 0.162320 | − | 0.102432i | 0.0419109 | − | 0.0264479i | ||||
\(16\) | 0.766044 | + | 0.642788i | 0.191511 | + | 0.160697i | ||||
\(17\) | 0.286983 | + | 0.497069i | 0.0696036 | + | 0.120557i | 0.898727 | − | 0.438509i | \(-0.144493\pi\) |
−0.829123 | + | 0.559066i | \(0.811160\pi\) | |||||||
\(18\) | −2.70794 | − | 1.29115i | −0.638267 | − | 0.304328i | ||||
\(19\) | −7.21933 | − | 4.16808i | −1.65623 | − | 0.956224i | −0.974432 | − | 0.224682i | \(-0.927866\pi\) |
−0.681796 | − | 0.731542i | \(-0.738801\pi\) | |||||||
\(20\) | −0.104133 | + | 0.0379011i | −0.0232847 | + | 0.00847495i | ||||
\(21\) | 3.45510 | − | 3.01036i | 0.753965 | − | 0.656915i | ||||
\(22\) | −4.00632 | + | 3.36170i | −0.854150 | + | 0.716717i | ||||
\(23\) | 1.79468 | − | 4.93085i | 0.374217 | − | 1.02815i | −0.599497 | − | 0.800377i | \(-0.704632\pi\) |
0.973714 | − | 0.227776i | \(-0.0731453\pi\) | |||||||
\(24\) | 1.36959 | + | 1.06030i | 0.279566 | + | 0.216432i | ||||
\(25\) | −0.866108 | + | 4.91195i | −0.173222 | + | 0.982389i | ||||
\(26\) | 3.10207 | 0.608365 | ||||||||
\(27\) | −4.77461 | − | 2.05014i | −0.918874 | − | 0.394550i | ||||
\(28\) | −2.31825 | + | 1.27504i | −0.438107 | + | 0.240961i | ||||
\(29\) | −8.47148 | − | 1.49375i | −1.57311 | − | 0.277383i | −0.682066 | − | 0.731291i | \(-0.738918\pi\) |
−0.891048 | + | 0.453908i | \(0.850029\pi\) | |||||||
\(30\) | −0.177641 | + | 0.0726896i | −0.0324327 | + | 0.0132712i | ||||
\(31\) | 2.29466 | − | 6.30454i | 0.412134 | − | 1.13233i | −0.543920 | − | 0.839137i | \(-0.683060\pi\) |
0.956054 | − | 0.293192i | \(-0.0947174\pi\) | |||||||
\(32\) | −0.642788 | − | 0.766044i | −0.113630 | − | 0.135419i | ||||
\(33\) | −6.70477 | + | 6.09105i | −1.16715 | + | 1.06032i | ||||
\(34\) | −0.196308 | − | 0.539351i | −0.0336665 | − | 0.0924980i | ||||
\(35\) | 0.00608391 | − | 0.293127i | 0.00102837 | − | 0.0495475i | ||||
\(36\) | 2.44259 | + | 1.74177i | 0.407099 | + | 0.290294i | ||||
\(37\) | −0.699352 | − | 1.21131i | −0.114973 | − | 0.199139i | 0.802796 | − | 0.596254i | \(-0.203345\pi\) |
−0.917769 | + | 0.397115i | \(0.870011\pi\) | |||||||
\(38\) | 6.38587 | + | 5.35839i | 1.03593 | + | 0.869245i | ||||
\(39\) | 5.36878 | − | 0.211318i | 0.859693 | − | 0.0338379i | ||||
\(40\) | 0.109132 | − | 0.0192429i | 0.0172553 | − | 0.00304257i | ||||
\(41\) | −0.875429 | − | 4.96481i | −0.136719 | − | 0.775373i | −0.973647 | − | 0.228060i | \(-0.926762\pi\) |
0.836928 | − | 0.547313i | \(-0.184349\pi\) | |||||||
\(42\) | −3.92535 | + | 2.36466i | −0.605695 | + | 0.364874i | ||||
\(43\) | −5.33369 | − | 4.47550i | −0.813381 | − | 0.682507i | 0.138032 | − | 0.990428i | \(-0.455922\pi\) |
−0.951412 | + | 0.307921i | \(0.900367\pi\) | |||||||
\(44\) | 4.52921 | − | 2.61494i | 0.682804 | − | 0.394217i | ||||
\(45\) | −0.302494 | + | 0.137906i | −0.0450931 | + | 0.0205578i | ||||
\(46\) | −2.62365 | + | 4.54429i | −0.386836 | + | 0.670020i | ||||
\(47\) | −7.79301 | + | 2.83642i | −1.13673 | + | 0.413735i | −0.840731 | − | 0.541454i | \(-0.817874\pi\) |
−0.295997 | + | 0.955189i | \(0.595652\pi\) | |||||||
\(48\) | −1.16466 | − | 1.28201i | −0.168105 | − | 0.185043i | ||||
\(49\) | −0.928455 | − | 6.93815i | −0.132636 | − | 0.991165i | ||||
\(50\) | 1.70590 | − | 4.68692i | 0.241251 | − | 0.662831i | ||||
\(51\) | −0.376493 | − | 0.920088i | −0.0527196 | − | 0.128838i | ||||
\(52\) | −3.05494 | − | 0.538668i | −0.423644 | − | 0.0746998i | ||||
\(53\) | − | 6.95222i | − | 0.954961i | −0.878642 | − | 0.477480i | \(-0.841550\pi\) | ||
0.878642 | − | 0.477480i | \(-0.158450\pi\) | |||||||
\(54\) | 4.34607 | + | 2.84810i | 0.591425 | + | 0.387577i | ||||
\(55\) | 0.579551i | 0.0781467i | ||||||||
\(56\) | 2.50444 | − | 0.853115i | 0.334669 | − | 0.114002i | ||||
\(57\) | 11.4171 | + | 8.83880i | 1.51223 | + | 1.17073i | ||||
\(58\) | 8.08339 | + | 2.94211i | 1.06140 | + | 0.386319i | ||||
\(59\) | 10.2351 | − | 8.58825i | 1.33249 | − | 1.11809i | 0.349005 | − | 0.937121i | \(-0.386520\pi\) |
0.983488 | − | 0.180974i | \(-0.0579248\pi\) | |||||||
\(60\) | 0.187565 | − | 0.0407382i | 0.0242145 | − | 0.00525927i | ||||
\(61\) | 4.38186 | + | 12.0391i | 0.561040 | + | 1.54145i | 0.818115 | + | 0.575054i | \(0.195019\pi\) |
−0.257075 | + | 0.966391i | \(0.582759\pi\) | |||||||
\(62\) | −3.35458 | + | 5.81030i | −0.426032 | + | 0.737908i | ||||
\(63\) | −6.63257 | + | 4.35994i | −0.835625 | + | 0.549301i | ||||
\(64\) | 0.500000 | + | 0.866025i | 0.0625000 | + | 0.108253i | ||||
\(65\) | 0.220963 | − | 0.263333i | 0.0274071 | − | 0.0326625i | ||||
\(66\) | 7.66061 | − | 4.83424i | 0.942956 | − | 0.595054i | ||||
\(67\) | −0.0706818 | − | 0.400857i | −0.00863516 | − | 0.0489724i | 0.980186 | − | 0.198081i | \(-0.0634708\pi\) |
−0.988821 | + | 0.149108i | \(0.952360\pi\) | |||||||
\(68\) | 0.0996681 | + | 0.565246i | 0.0120865 | + | 0.0685461i | ||||
\(69\) | −4.23121 | + | 8.04359i | −0.509378 | + | 0.968334i | ||||
\(70\) | −0.0568925 | + | 0.287617i | −0.00679995 | + | 0.0343769i | ||||
\(71\) | −6.50408 | + | 3.75513i | −0.771893 | + | 0.445653i | −0.833549 | − | 0.552445i | \(-0.813695\pi\) |
0.0616566 | + | 0.998097i | \(0.480362\pi\) | |||||||
\(72\) | −2.10303 | − | 2.13946i | −0.247844 | − | 0.252137i | ||||
\(73\) | 12.2644 | + | 7.08086i | 1.43544 | + | 0.828752i | 0.997528 | − | 0.0702659i | \(-0.0223848\pi\) |
0.437912 | + | 0.899018i | \(0.355718\pi\) | |||||||
\(74\) | 0.478385 | + | 1.31435i | 0.0556111 | + | 0.152790i | ||||
\(75\) | 2.63314 | − | 8.22792i | 0.304049 | − | 0.950078i | ||||
\(76\) | −5.35839 | − | 6.38587i | −0.614649 | − | 0.732510i | ||||
\(77\) | 2.11948 | + | 13.6737i | 0.241537 | + | 1.55826i | ||||
\(78\) | −5.32391 | − | 0.724171i | −0.602814 | − | 0.0819963i | ||||
\(79\) | −1.16950 | + | 6.63255i | −0.131579 | + | 0.746220i | 0.845602 | + | 0.533813i | \(0.179241\pi\) |
−0.977181 | + | 0.212407i | \(0.931870\pi\) | |||||||
\(80\) | −0.110815 | −0.0123895 | ||||||||
\(81\) | 7.71581 | + | 4.63317i | 0.857312 | + | 0.514797i | ||||
\(82\) | 5.04140i | 0.556729i | ||||||||
\(83\) | −1.04808 | + | 5.94396i | −0.115042 | + | 0.652434i | 0.871688 | + | 0.490061i | \(0.163026\pi\) |
−0.986730 | + | 0.162372i | \(0.948085\pi\) | |||||||
\(84\) | 4.27634 | − | 1.64710i | 0.466587 | − | 0.179714i | ||||
\(85\) | −0.0597685 | − | 0.0217539i | −0.00648280 | − | 0.00235955i | ||||
\(86\) | 4.47550 | + | 5.33369i | 0.482606 | + | 0.575147i | ||||
\(87\) | 14.1904 | + | 4.54129i | 1.52137 | + | 0.486878i | ||||
\(88\) | −4.91448 | + | 1.78872i | −0.523885 | + | 0.190679i | ||||
\(89\) | 3.86050 | − | 6.68658i | 0.409212 | − | 0.708776i | −0.585590 | − | 0.810608i | \(-0.699137\pi\) |
0.994802 | + | 0.101832i | \(0.0324703\pi\) | |||||||
\(90\) | 0.321846 | − | 0.0832832i | 0.0339255 | − | 0.00877882i | ||||
\(91\) | 4.25026 | − | 7.02104i | 0.445548 | − | 0.736005i | ||||
\(92\) | 3.37290 | − | 4.01966i | 0.351649 | − | 0.419079i | ||||
\(93\) | −5.40999 | + | 10.2845i | −0.560990 | + | 1.06645i | ||||
\(94\) | 8.16716 | − | 1.44009i | 0.842378 | − | 0.148534i | ||||
\(95\) | 0.909742 | − | 0.160412i | 0.0933376 | − | 0.0164579i | ||||
\(96\) | 0.924350 | + | 1.46478i | 0.0943411 | + | 0.149498i | ||||
\(97\) | 5.16157 | − | 6.15132i | 0.524078 | − | 0.624571i | −0.437462 | − | 0.899237i | \(-0.644123\pi\) |
0.961540 | + | 0.274665i | \(0.0885671\pi\) | |||||||
\(98\) | −0.290448 | + | 6.99397i | −0.0293397 | + | 0.706498i | ||||
\(99\) | 12.9290 | − | 8.88852i | 1.29941 | − | 0.893330i | ||||
\(100\) | −2.49386 | + | 4.31949i | −0.249386 | + | 0.431949i | ||||
\(101\) | 2.55350 | − | 0.929399i | 0.254083 | − | 0.0924787i | −0.211839 | − | 0.977305i | \(-0.567945\pi\) |
0.465922 | + | 0.884826i | \(0.345723\pi\) | |||||||
\(102\) | 0.211002 | + | 0.971487i | 0.0208923 | + | 0.0961916i | ||||
\(103\) | −8.01929 | − | 9.55702i | −0.790164 | − | 0.941681i | 0.209181 | − | 0.977877i | \(-0.432920\pi\) |
−0.999345 | + | 0.0361962i | \(0.988476\pi\) | |||||||
\(104\) | 2.91499 | + | 1.06097i | 0.285838 | + | 0.104037i | ||||
\(105\) | −0.0788714 | + | 0.501658i | −0.00769707 | + | 0.0489568i | ||||
\(106\) | −1.20724 | + | 6.84660i | −0.117258 | + | 0.665001i | ||||
\(107\) | 1.58705i | 0.153426i | 0.997053 | + | 0.0767131i | \(0.0244426\pi\) | ||||
−0.997053 | + | 0.0767131i | \(0.975557\pi\) | |||||||
\(108\) | −3.78548 | − | 3.55952i | −0.364258 | − | 0.342515i | ||||
\(109\) | −7.69237 | −0.736796 | −0.368398 | − | 0.929668i | \(-0.620094\pi\) | ||||
−0.368398 | + | 0.929668i | \(0.620094\pi\) | |||||||
\(110\) | 0.100638 | − | 0.570747i | 0.00959546 | − | 0.0544186i | ||||
\(111\) | 0.917482 | + | 2.24217i | 0.0870835 | + | 0.212818i | ||||
\(112\) | −2.61453 | + | 0.405264i | −0.247050 | + | 0.0382938i | ||||
\(113\) | 2.64963 | + | 3.15771i | 0.249256 | + | 0.297052i | 0.876136 | − | 0.482064i | \(-0.160113\pi\) |
−0.626880 | + | 0.779116i | \(0.715668\pi\) | |||||||
\(114\) | −9.70883 | − | 10.6871i | −0.909315 | − | 1.00094i | ||||
\(115\) | 0.198879 | + | 0.546414i | 0.0185455 | + | 0.0509534i | ||||
\(116\) | −7.44969 | − | 4.30108i | −0.691687 | − | 0.399346i | ||||
\(117\) | −9.26348 | − | 0.890658i | −0.856409 | − | 0.0823413i | ||||
\(118\) | −11.5709 | + | 6.68047i | −1.06519 | + | 0.614987i | ||||
\(119\) | −1.48971 | − | 0.294673i | −0.136561 | − | 0.0270126i | ||||
\(120\) | −0.191790 | + | 0.00754893i | −0.0175079 | + | 0.000689120i | ||||
\(121\) | −2.83943 | − | 16.1032i | −0.258130 | − | 1.46393i | ||||
\(122\) | −2.22473 | − | 12.6171i | −0.201418 | − | 1.14230i | ||||
\(123\) | 0.343428 | + | 8.72520i | 0.0309659 | + | 0.786725i | ||||
\(124\) | 4.31256 | − | 5.13951i | 0.387279 | − | 0.461541i | ||||
\(125\) | −0.553397 | − | 0.958512i | −0.0494973 | − | 0.0857319i | ||||
\(126\) | 7.28890 | − | 3.14197i | 0.649347 | − | 0.279909i | ||||
\(127\) | −3.05268 | + | 5.28739i | −0.270881 | + | 0.469180i | −0.969088 | − | 0.246716i | \(-0.920648\pi\) |
0.698207 | + | 0.715896i | \(0.253982\pi\) | |||||||
\(128\) | −0.342020 | − | 0.939693i | −0.0302306 | − | 0.0830579i | ||||
\(129\) | 8.10913 | + | 8.92620i | 0.713969 | + | 0.785908i | ||||
\(130\) | −0.263333 | + | 0.220963i | −0.0230958 | + | 0.0193797i | ||||
\(131\) | −10.0238 | − | 3.64838i | −0.875787 | − | 0.318760i | −0.135278 | − | 0.990808i | \(-0.543193\pi\) |
−0.740508 | + | 0.672047i | \(0.765415\pi\) | |||||||
\(132\) | −8.38369 | + | 3.43054i | −0.729706 | + | 0.298591i | ||||
\(133\) | 20.8774 | − | 7.11171i | 1.81030 | − | 0.616663i | ||||
\(134\) | 0.407040i | 0.0351629i | ||||||||
\(135\) | 0.551348 | − | 0.166064i | 0.0474525 | − | 0.0142925i | ||||
\(136\) | − | 0.573966i | − | 0.0492171i | ||||||
\(137\) | −15.9503 | − | 2.81246i | −1.36272 | − | 0.240285i | −0.555984 | − | 0.831193i | \(-0.687658\pi\) |
−0.806739 | + | 0.590908i | \(0.798770\pi\) | |||||||
\(138\) | 5.56369 | − | 7.18664i | 0.473612 | − | 0.611768i | ||||
\(139\) | −3.67414 | + | 10.0946i | −0.311636 | + | 0.856214i | 0.680690 | + | 0.732571i | \(0.261680\pi\) |
−0.992327 | + | 0.123643i | \(0.960542\pi\) | |||||||
\(140\) | 0.105972 | − | 0.273369i | 0.00895630 | − | 0.0231039i | ||||
\(141\) | 14.0369 | − | 3.04874i | 1.18212 | − | 0.256750i | ||||
\(142\) | 7.05734 | − | 2.56866i | 0.592239 | − | 0.215557i | ||||
\(143\) | −8.11171 | + | 14.0499i | −0.678336 | + | 1.17491i | ||||
\(144\) | 1.69957 | + | 2.47214i | 0.141631 | + | 0.206012i | ||||
\(145\) | 0.825542 | − | 0.476627i | 0.0685575 | − | 0.0395817i | ||||
\(146\) | −10.8485 | − | 9.10298i | −0.897829 | − | 0.753368i | ||||
\(147\) | −0.0262404 | + | 12.1243i | −0.00216427 | + | 0.999998i | ||||
\(148\) | −0.242882 | − | 1.37745i | −0.0199648 | − | 0.113226i | ||||
\(149\) | −5.73431 | + | 1.01111i | −0.469773 | + | 0.0828337i | −0.403523 | − | 0.914969i | \(-0.632215\pi\) |
−0.0662499 | + | 0.997803i | \(0.521103\pi\) | |||||||
\(150\) | −4.02190 | + | 7.64568i | −0.328387 | + | 0.624267i | ||||
\(151\) | 6.45781 | + | 5.41874i | 0.525529 | + | 0.440971i | 0.866554 | − | 0.499083i | \(-0.166330\pi\) |
−0.341025 | + | 0.940054i | \(0.610774\pi\) | |||||||
\(152\) | 4.16808 | + | 7.21933i | 0.338076 | + | 0.585565i | ||||
\(153\) | 0.431363 | + | 1.66699i | 0.0348736 | + | 0.134768i | ||||
\(154\) | 0.287127 | − | 13.8340i | 0.0231374 | − | 1.11477i | ||||
\(155\) | 0.254284 | + | 0.698641i | 0.0204246 | + | 0.0561162i | ||||
\(156\) | 5.11728 | + | 1.63766i | 0.409710 | + | 0.131117i | ||||
\(157\) | −6.81686 | − | 8.12401i | −0.544044 | − | 0.648367i | 0.422045 | − | 0.906575i | \(-0.361312\pi\) |
−0.966089 | + | 0.258208i | \(0.916868\pi\) | |||||||
\(158\) | 2.30346 | − | 6.32871i | 0.183254 | − | 0.503485i | ||||
\(159\) | −1.62298 | + | 11.9317i | −0.128711 | + | 0.946247i | ||||
\(160\) | 0.109132 | + | 0.0192429i | 0.00862764 | + | 0.00152129i | ||||
\(161\) | 6.69054 | + | 12.1645i | 0.527289 | + | 0.958699i | ||||
\(162\) | −6.79405 | − | 5.90262i | −0.533791 | − | 0.463754i | ||||
\(163\) | 8.63779 | 0.676564 | 0.338282 | − | 0.941045i | \(-0.390154\pi\) | ||||
0.338282 | + | 0.941045i | \(0.390154\pi\) | |||||||
\(164\) | 0.875429 | − | 4.96481i | 0.0683596 | − | 0.387686i | ||||
\(165\) | 0.135295 | − | 0.994653i | 0.0105327 | − | 0.0774336i | ||||
\(166\) | 2.06431 | − | 5.67166i | 0.160222 | − | 0.440206i | ||||
\(167\) | 10.3973 | − | 8.72440i | 0.804570 | − | 0.675115i | −0.144735 | − | 0.989470i | \(-0.546233\pi\) |
0.949305 | + | 0.314356i | \(0.101788\pi\) | |||||||
\(168\) | −4.49739 | + | 0.879500i | −0.346981 | + | 0.0678549i | ||||
\(169\) | −3.17351 | + | 1.15506i | −0.244116 | + | 0.0888511i | ||||
\(170\) | 0.0550829 | + | 0.0318021i | 0.00422467 | + | 0.00243911i | ||||
\(171\) | −17.5312 | − | 17.8349i | −1.34064 | − | 1.36387i | ||||
\(172\) | −3.48132 | − | 6.02982i | −0.265448 | − | 0.459770i | ||||
\(173\) | 2.45499 | + | 2.05998i | 0.186650 | + | 0.156618i | 0.731324 | − | 0.682030i | \(-0.238903\pi\) |
−0.544675 | + | 0.838647i | \(0.683347\pi\) | |||||||
\(174\) | −13.1863 | − | 6.93645i | −0.999648 | − | 0.525851i | ||||
\(175\) | −8.27080 | − | 10.2828i | −0.625214 | − | 0.777304i | ||||
\(176\) | 5.15042 | − | 0.908159i | 0.388228 | − | 0.0684550i | ||||
\(177\) | −19.5708 | + | 12.3502i | −1.47103 | + | 0.928297i | ||||
\(178\) | −4.96296 | + | 5.91463i | −0.371990 | + | 0.443320i | ||||
\(179\) | −0.703065 | + | 0.405915i | −0.0525495 | + | 0.0303395i | −0.526045 | − | 0.850457i | \(-0.676326\pi\) |
0.473495 | + | 0.880796i | \(0.342992\pi\) | |||||||
\(180\) | −0.331418 | + | 0.0261300i | −0.0247024 | + | 0.00194762i | ||||
\(181\) | −4.75951 | − | 2.74791i | −0.353772 | − | 0.204250i | 0.312573 | − | 0.949894i | \(-0.398809\pi\) |
−0.666345 | + | 0.745643i | \(0.732142\pi\) | |||||||
\(182\) | −5.40488 | + | 6.17633i | −0.400636 | + | 0.457820i | ||||
\(183\) | −4.70986 | − | 21.6850i | −0.348163 | − | 1.60300i | ||||
\(184\) | −4.01966 | + | 3.37290i | −0.296334 | + | 0.248653i | ||||
\(185\) | 0.145651 | + | 0.0530125i | 0.0107084 | + | 0.00389755i | ||||
\(186\) | 7.11368 | − | 9.18878i | 0.521600 | − | 0.673754i | ||||
\(187\) | 2.95617 | + | 0.521252i | 0.216176 | + | 0.0381177i | ||||
\(188\) | −8.29315 | −0.604840 | ||||||||
\(189\) | 12.4009 | − | 5.93437i | 0.902036 | − | 0.431662i | ||||
\(190\) | −0.923776 | −0.0670178 | ||||||||
\(191\) | 6.95169 | + | 1.22577i | 0.503007 | + | 0.0886936i | 0.419393 | − | 0.907805i | \(-0.362243\pi\) |
0.0836133 | + | 0.996498i | \(0.473354\pi\) | |||||||
\(192\) | −0.655951 | − | 1.60304i | −0.0473392 | − | 0.115689i | ||||
\(193\) | 11.5296 | + | 4.19645i | 0.829922 | + | 0.302067i | 0.721827 | − | 0.692074i | \(-0.243303\pi\) |
0.108095 | + | 0.994141i | \(0.465525\pi\) | |||||||
\(194\) | −6.15132 | + | 5.16157i | −0.441639 | + | 0.370579i | ||||
\(195\) | −0.440701 | + | 0.400361i | −0.0315593 | + | 0.0286705i | ||||
\(196\) | 1.50053 | − | 6.83728i | 0.107180 | − | 0.488377i | ||||
\(197\) | 2.77971 | + | 1.60486i | 0.198046 | + | 0.114342i | 0.595744 | − | 0.803175i | \(-0.296857\pi\) |
−0.397698 | + | 0.917516i | \(0.630191\pi\) | |||||||
\(198\) | −14.2760 | + | 6.50839i | −1.01455 | + | 0.462531i | ||||
\(199\) | −12.4562 | + | 7.19157i | −0.882994 | + | 0.509797i | −0.871644 | − | 0.490139i | \(-0.836946\pi\) |
−0.0113494 | + | 0.999936i | \(0.503613\pi\) | |||||||
\(200\) | 3.20604 | − | 3.82082i | 0.226702 | − | 0.270172i | ||||
\(201\) | 0.0277283 | + | 0.704469i | 0.00195580 | + | 0.0496894i | ||||
\(202\) | −2.67610 | + | 0.471868i | −0.188290 | + | 0.0332005i | ||||
\(203\) | 17.7344 | − | 14.2644i | 1.24471 | − | 1.00116i | ||||
\(204\) | −0.0390995 | − | 0.993368i | −0.00273751 | − | 0.0695497i | ||||
\(205\) | 0.427962 | + | 0.359103i | 0.0298902 | + | 0.0250808i | ||||
\(206\) | 6.23790 | + | 10.8044i | 0.434615 | + | 0.752775i | ||||
\(207\) | 9.13957 | − | 12.8170i | 0.635244 | − | 0.890844i | ||||
\(208\) | −2.68647 | − | 1.55103i | −0.186273 | − | 0.107545i | ||||
\(209\) | −40.9679 | + | 14.9111i | −2.83381 | + | 1.03142i | ||||
\(210\) | 0.164785 | − | 0.480341i | 0.0113713 | − | 0.0331467i | ||||
\(211\) | 6.08994 | − | 5.11007i | 0.419249 | − | 0.351792i | −0.408628 | − | 0.912701i | \(-0.633993\pi\) |
0.827877 | + | 0.560909i | \(0.189548\pi\) | |||||||
\(212\) | 2.37780 | − | 6.53295i | 0.163308 | − | 0.448685i | ||||
\(213\) | 12.0392 | − | 4.92637i | 0.824915 | − | 0.337549i | ||||
\(214\) | 0.275589 | − | 1.56294i | 0.0188389 | − | 0.106841i | ||||
\(215\) | 0.771569 | 0.0526205 | ||||||||
\(216\) | 3.10986 | + | 4.16278i | 0.211599 | + | 0.283241i | ||||
\(217\) | 8.55447 | + | 15.5535i | 0.580715 | + | 1.05584i | ||||
\(218\) | 7.57551 | + | 1.33577i | 0.513078 | + | 0.0904695i | ||||
\(219\) | −19.3957 | − | 15.0156i | −1.31064 | − | 1.01466i | ||||
\(220\) | −0.198218 | + | 0.544600i | −0.0133639 | + | 0.0367169i | ||||
\(221\) | −1.14447 | − | 1.36393i | −0.0769854 | − | 0.0917476i | ||||
\(222\) | −0.514194 | − | 2.36743i | −0.0345104 | − | 0.158891i | ||||
\(223\) | 1.18771 | + | 3.26322i | 0.0795352 | + | 0.218521i | 0.973087 | − | 0.230440i | \(-0.0740165\pi\) |
−0.893551 | + | 0.448961i | \(0.851794\pi\) | |||||||
\(224\) | 2.64518 | + | 0.0549013i | 0.176739 | + | 0.00366825i | ||||
\(225\) | −6.43991 | + | 13.5064i | −0.429327 | + | 0.900429i | ||||
\(226\) | −2.06105 | − | 3.56984i | −0.137099 | − | 0.237462i | ||||
\(227\) | −11.6163 | − | 9.74722i | −0.771000 | − | 0.646946i | 0.169965 | − | 0.985450i | \(-0.445635\pi\) |
−0.940965 | + | 0.338504i | \(0.890079\pi\) | |||||||
\(228\) | 7.70554 | + | 12.2106i | 0.510312 | + | 0.808669i | ||||
\(229\) | 7.85437 | − | 1.38494i | 0.519031 | − | 0.0915192i | 0.0920052 | − | 0.995759i | \(-0.470672\pi\) |
0.427026 | + | 0.904239i | \(0.359561\pi\) | |||||||
\(230\) | −0.100973 | − | 0.572648i | −0.00665798 | − | 0.0377593i | ||||
\(231\) | −0.445459 | − | 23.9622i | −0.0293091 | − | 1.57659i | ||||
\(232\) | 6.58964 | + | 5.52937i | 0.432631 | + | 0.363021i | ||||
\(233\) | −10.5142 | + | 6.07035i | −0.688805 | + | 0.397682i | −0.803164 | − | 0.595758i | \(-0.796852\pi\) |
0.114359 | + | 0.993439i | \(0.463519\pi\) | |||||||
\(234\) | 8.96809 | + | 2.48571i | 0.586262 | + | 0.162496i | ||||
\(235\) | 0.459505 | − | 0.795886i | 0.0299748 | − | 0.0519179i | ||||
\(236\) | 12.5552 | − | 4.56971i | 0.817272 | − | 0.297463i | ||||
\(237\) | 3.55550 | − | 11.1101i | 0.230955 | − | 0.721677i | ||||
\(238\) | 1.41590 | + | 0.548881i | 0.0917794 | + | 0.0355787i | ||||
\(239\) | −8.71213 | + | 23.9364i | −0.563541 | + | 1.54832i | 0.250866 | + | 0.968022i | \(0.419285\pi\) |
−0.814407 | + | 0.580294i | \(0.802938\pi\) | |||||||
\(240\) | 0.190187 | + | 0.0258697i | 0.0122765 | + | 0.00166988i | ||||
\(241\) | 11.2237 | + | 1.97904i | 0.722982 | + | 0.127481i | 0.523018 | − | 0.852322i | \(-0.324806\pi\) |
0.199964 | + | 0.979803i | \(0.435917\pi\) | |||||||
\(242\) | 16.3516i | 1.05112i | ||||||||
\(243\) | −12.1606 | − | 9.75291i | −0.780104 | − | 0.625649i | ||||
\(244\) | 12.8117i | 0.820186i | ||||||||
\(245\) | 0.573027 | + | 0.522842i | 0.0366093 | + | 0.0334032i | ||||
\(246\) | 1.17690 | − | 8.65228i | 0.0750367 | − | 0.551649i | ||||
\(247\) | 24.2998 | + | 8.84442i | 1.54616 | + | 0.562757i | ||||
\(248\) | −5.13951 | + | 4.31256i | −0.326359 | + | 0.273848i | ||||
\(249\) | 3.18637 | − | 9.95662i | 0.201928 | − | 0.630975i | ||||
\(250\) | 0.378546 | + | 1.04005i | 0.0239413 | + | 0.0657783i | ||||
\(251\) | 3.14706 | − | 5.45087i | 0.198641 | − | 0.344056i | −0.749447 | − | 0.662064i | \(-0.769681\pi\) |
0.948088 | + | 0.318008i | \(0.103014\pi\) | |||||||
\(252\) | −7.72376 | + | 1.82853i | −0.486551 | + | 0.115187i | ||||
\(253\) | −13.7214 | − | 23.7661i | −0.862655 | − | 1.49416i | ||||
\(254\) | 3.92444 | − | 4.67697i | 0.246242 | − | 0.293459i | ||||
\(255\) | 0.0974990 | + | 0.0512880i | 0.00610563 | + | 0.00321178i | ||||
\(256\) | 0.173648 | + | 0.984808i | 0.0108530 | + | 0.0615505i | ||||
\(257\) | 1.00824 | + | 5.71799i | 0.0628921 | + | 0.356679i | 0.999971 | + | 0.00756212i | \(0.00240712\pi\) |
−0.937079 | + | 0.349116i | \(0.886482\pi\) | |||||||
\(258\) | −6.43592 | − | 10.1987i | −0.400683 | − | 0.634945i | ||||
\(259\) | 3.63028 | + | 0.718092i | 0.225575 | + | 0.0446201i | ||||
\(260\) | 0.297702 | − | 0.171879i | 0.0184627 | − | 0.0106595i | ||||
\(261\) | −23.2941 | − | 11.1067i | −1.44187 | − | 0.687488i | ||||
\(262\) | 9.23802 | + | 5.33357i | 0.570727 | + | 0.329509i | ||||
\(263\) | −4.44200 | − | 12.2043i | −0.273906 | − | 0.752549i | −0.998022 | − | 0.0628712i | \(-0.979974\pi\) |
0.724116 | − | 0.689678i | \(-0.242248\pi\) | |||||||
\(264\) | 8.85203 | − | 1.92261i | 0.544805 | − | 0.118329i | ||||
\(265\) | 0.495212 | + | 0.590171i | 0.0304207 | + | 0.0362539i | ||||
\(266\) | −21.7952 | + | 3.37835i | −1.33635 | + | 0.207140i | ||||
\(267\) | −8.18654 | + | 10.5746i | −0.501008 | + | 0.647155i | ||||
\(268\) | 0.0706818 | − | 0.400857i | 0.00431758 | − | 0.0244862i | ||||
\(269\) | 4.79165 | 0.292152 | 0.146076 | − | 0.989273i | \(-0.453336\pi\) | ||||
0.146076 | + | 0.989273i | \(0.453336\pi\) | |||||||
\(270\) | −0.571809 | + | 0.0678003i | −0.0347992 | + | 0.00412619i | ||||
\(271\) | 0.902646i | 0.0548318i | 0.999624 | + | 0.0274159i | \(0.00872785\pi\) | ||||
−0.999624 | + | 0.0274159i | \(0.991272\pi\) | |||||||
\(272\) | −0.0996681 | + | 0.565246i | −0.00604326 | + | 0.0342731i | ||||
\(273\) | −8.93353 | + | 11.0576i | −0.540682 | + | 0.669238i | ||||
\(274\) | 15.2196 | + | 5.53947i | 0.919447 | + | 0.334651i | ||||
\(275\) | 16.7672 | + | 19.9824i | 1.01110 | + | 1.20498i | ||||
\(276\) | −6.72711 | + | 6.11134i | −0.404924 | + | 0.367859i | ||||
\(277\) | −15.6495 | + | 5.69594i | −0.940285 | + | 0.342236i | −0.766278 | − | 0.642509i | \(-0.777894\pi\) |
−0.174007 | + | 0.984744i | \(0.555671\pi\) | |||||||
\(278\) | 5.37123 | − | 9.30324i | 0.322145 | − | 0.557972i | ||||
\(279\) | 11.6858 | − | 16.3877i | 0.699609 | − | 0.981107i | ||||
\(280\) | −0.151832 | + | 0.250814i | −0.00907372 | + | 0.0149890i | ||||
\(281\) | 0.926358 | − | 1.10399i | 0.0552619 | − | 0.0658585i | −0.737705 | − | 0.675123i | \(-0.764091\pi\) |
0.792967 | + | 0.609264i | \(0.208535\pi\) | |||||||
\(282\) | −14.3530 | + | 0.564943i | −0.854711 | + | 0.0336419i | ||||
\(283\) | 7.34081 | − | 1.29438i | 0.436366 | − | 0.0769430i | 0.0488499 | − | 0.998806i | \(-0.484444\pi\) |
0.387516 | + | 0.921863i | \(0.373333\pi\) | |||||||
\(284\) | −7.39617 | + | 1.30414i | −0.438882 | + | 0.0773867i | ||||
\(285\) | −1.59879 | + | 0.0629292i | −0.0947041 | + | 0.00372760i | ||||
\(286\) | 10.4282 | − | 12.4279i | 0.616633 | − | 0.734875i | ||||
\(287\) | 11.4104 | + | 6.90740i | 0.673535 | + | 0.407731i | ||||
\(288\) | −1.24446 | − | 2.72971i | −0.0733307 | − | 0.160850i | ||||
\(289\) | 8.33528 | − | 14.4371i | 0.490311 | − | 0.849243i | ||||
\(290\) | −0.895765 | + | 0.326032i | −0.0526011 | + | 0.0191452i | ||||
\(291\) | −10.2945 | + | 9.35222i | −0.603476 | + | 0.548237i | ||||
\(292\) | 9.10298 | + | 10.8485i | 0.532711 | + | 0.634861i | ||||
\(293\) | 19.2103 | + | 6.99198i | 1.12228 | + | 0.408476i | 0.835483 | − | 0.549517i | \(-0.185188\pi\) |
0.286795 | + | 0.957992i | \(0.407410\pi\) | |||||||
\(294\) | 2.13121 | − | 11.9356i | 0.124295 | − | 0.696097i | ||||
\(295\) | −0.257103 | + | 1.45811i | −0.0149691 | + | 0.0848942i | ||||
\(296\) | 1.39870i | 0.0812980i | ||||||||
\(297\) | −24.2643 | + | 12.2366i | −1.40796 | + | 0.710042i | ||||
\(298\) | 5.82277 | 0.337304 | ||||||||
\(299\) | −2.82655 | + | 16.0302i | −0.163464 | + | 0.927049i | ||||
\(300\) | 5.28846 | − | 6.83113i | 0.305329 | − | 0.394395i | ||||
\(301\) | 18.2040 | − | 2.82171i | 1.04926 | − | 0.162640i | ||||
\(302\) | −5.41874 | − | 6.45781i | −0.311814 | − | 0.371605i | ||||
\(303\) | −4.59941 | + | 0.998968i | −0.264229 | + | 0.0573892i | ||||
\(304\) | −2.85114 | − | 7.83343i | −0.163524 | − | 0.449278i | ||||
\(305\) | −1.22953 | − | 0.709868i | −0.0704026 | − | 0.0406469i | ||||
\(306\) | −0.135340 | − | 1.71657i | −0.00773686 | − | 0.0981298i | ||||
\(307\) | 0.486924 | − | 0.281126i | 0.0277902 | − | 0.0160447i | −0.486041 | − | 0.873936i | \(-0.661559\pi\) |
0.513831 | + | 0.857892i | \(0.328226\pi\) | |||||||
\(308\) | −2.68501 | + | 13.5739i | −0.152993 | + | 0.773447i | ||||
\(309\) | 11.5320 | + | 18.2743i | 0.656033 | + | 1.03959i | ||||
\(310\) | −0.129104 | − | 0.732183i | −0.00733259 | − | 0.0415852i | ||||
\(311\) | 1.78245 | + | 10.1088i | 0.101073 | + | 0.573215i | 0.992716 | + | 0.120476i | \(0.0384421\pi\) |
−0.891643 | + | 0.452739i | \(0.850447\pi\) | |||||||
\(312\) | −4.75516 | − | 2.50138i | −0.269208 | − | 0.141613i | ||||
\(313\) | −12.1355 | + | 14.4625i | −0.685936 | + | 0.817467i | −0.990858 | − | 0.134910i | \(-0.956925\pi\) |
0.304921 | + | 0.952377i | \(0.401370\pi\) | |||||||
\(314\) | 5.30257 | + | 9.18432i | 0.299241 | + | 0.518301i | ||||
\(315\) | 0.252474 | − | 0.842557i | 0.0142253 | − | 0.0474727i | ||||
\(316\) | −3.36744 | + | 5.83257i | −0.189433 | + | 0.328108i | ||||
\(317\) | 1.91149 | + | 5.25178i | 0.107360 | + | 0.294969i | 0.981727 | − | 0.190297i | \(-0.0609450\pi\) |
−0.874367 | + | 0.485266i | \(0.838723\pi\) | |||||||
\(318\) | 3.67025 | − | 11.4686i | 0.205817 | − | 0.643129i | ||||
\(319\) | −34.4630 | + | 28.9179i | −1.92956 | + | 1.61909i | ||||
\(320\) | −0.104133 | − | 0.0379011i | −0.00582118 | − | 0.00211874i | ||||
\(321\) | 0.370494 | − | 2.72377i | 0.0206790 | − | 0.152026i | ||||
\(322\) | −4.47655 | − | 13.1415i | −0.249468 | − | 0.732348i | ||||
\(323\) | − | 4.78467i | − | 0.266226i | ||||||
\(324\) | 5.66585 | + | 6.99272i | 0.314769 | + | 0.388485i | ||||
\(325\) | − | 15.4722i | − | 0.858245i | ||||||
\(326\) | −8.50656 | − | 1.49994i | −0.471135 | − | 0.0830738i | ||||
\(327\) | 13.2020 | + | 1.79577i | 0.730073 | + | 0.0993063i | ||||
\(328\) | −1.72426 | + | 4.73736i | −0.0952063 | + | 0.261577i | ||||
\(329\) | 7.93070 | − | 20.4582i | 0.437234 | − | 1.12790i | ||||
\(330\) | −0.305959 | + | 0.956048i | −0.0168425 | + | 0.0526287i | ||||
\(331\) | 17.4775 | − | 6.36129i | 0.960650 | − | 0.349648i | 0.186362 | − | 0.982481i | \(-0.440330\pi\) |
0.774288 | + | 0.632833i | \(0.218108\pi\) | |||||||
\(332\) | −3.01783 | + | 5.22703i | −0.165625 | + | 0.286870i | ||||
\(333\) | −1.05119 | − | 4.06231i | −0.0576051 | − | 0.222613i | ||||
\(334\) | −11.7544 | + | 6.78638i | −0.643170 | + | 0.371334i | ||||
\(335\) | 0.0345535 | + | 0.0289938i | 0.00188786 | + | 0.00158410i | ||||
\(336\) | 4.58178 | − | 0.0851758i | 0.249957 | − | 0.00464672i | ||||
\(337\) | −4.92361 | − | 27.9232i | −0.268206 | − | 1.52107i | −0.759747 | − | 0.650219i | \(-0.774677\pi\) |
0.491541 | − | 0.870855i | \(-0.336434\pi\) | |||||||
\(338\) | 3.32588 | − | 0.586442i | 0.180904 | − | 0.0318982i | ||||
\(339\) | −3.81026 | − | 6.03795i | −0.206945 | − | 0.327937i | ||||
\(340\) | −0.0487237 | − | 0.0408840i | −0.00264241 | − | 0.00221725i | ||||
\(341\) | −17.5440 | − | 30.3871i | −0.950062 | − | 1.64556i | ||||
\(342\) | 14.1679 | + | 20.6082i | 0.766111 | + | 1.11436i | ||||
\(343\) | 15.4318 | + | 10.2401i | 0.833239 | + | 0.552912i | ||||
\(344\) | 2.38136 | + | 6.54274i | 0.128395 | + | 0.352761i | ||||
\(345\) | −0.213765 | − | 0.984210i | −0.0115087 | − | 0.0529881i | ||||
\(346\) | −2.05998 | − | 2.45499i | −0.110745 | − | 0.131981i | ||||
\(347\) | 10.6589 | − | 29.2850i | 0.572199 | − | 1.57210i | −0.228823 | − | 0.973468i | \(-0.573488\pi\) |
0.801022 | − | 0.598635i | \(-0.204290\pi\) | |||||||
\(348\) | 11.7814 | + | 9.12084i | 0.631551 | + | 0.488928i | ||||
\(349\) | 8.70853 | + | 1.53555i | 0.466157 | + | 0.0821961i | 0.401793 | − | 0.915730i | \(-0.368387\pi\) |
0.0643639 | + | 0.997926i | \(0.479498\pi\) | |||||||
\(350\) | 6.35957 | + | 11.5628i | 0.339933 | + | 0.618055i | ||||
\(351\) | 15.6905 | + | 3.69113i | 0.837497 | + | 0.197018i | ||||
\(352\) | −5.22988 | −0.278753 | ||||||||
\(353\) | 1.52341 | − | 8.63967i | 0.0810827 | − | 0.459843i | −0.917051 | − | 0.398771i | \(-0.869437\pi\) |
0.998133 | − | 0.0610722i | \(-0.0194520\pi\) | |||||||
\(354\) | 21.4181 | − | 8.76413i | 1.13836 | − | 0.465808i | ||||
\(355\) | 0.284648 | − | 0.782063i | 0.0151075 | − | 0.0415076i | ||||
\(356\) | 5.91463 | − | 4.96296i | 0.313475 | − | 0.263036i | ||||
\(357\) | 2.48791 | + | 0.853500i | 0.131674 | + | 0.0451720i | ||||
\(358\) | 0.762870 | − | 0.277662i | 0.0403189 | − | 0.0146749i | ||||
\(359\) | 22.6039 | + | 13.0503i | 1.19299 | + | 0.688771i | 0.958983 | − | 0.283465i | \(-0.0914841\pi\) |
0.234003 | + | 0.972236i | \(0.424817\pi\) | |||||||
\(360\) | 0.330920 | + | 0.0318171i | 0.0174410 | + | 0.00167691i | ||||
\(361\) | 25.2458 | + | 43.7271i | 1.32873 | + | 2.30143i | ||||
\(362\) | 4.21004 | + | 3.53264i | 0.221275 | + | 0.185671i | ||||
\(363\) | 1.11390 | + | 28.2999i | 0.0584645 | + | 1.48536i | ||||
\(364\) | 6.39527 | − | 5.14395i | 0.335203 | − | 0.269616i | ||||
\(365\) | −1.54550 | + | 0.272513i | −0.0808950 | + | 0.0142640i | ||||
\(366\) | 0.872755 | + | 22.1734i | 0.0456196 | + | 1.15902i | ||||
\(367\) | −10.5733 | + | 12.6008i | −0.551923 | + | 0.657757i | −0.967817 | − | 0.251657i | \(-0.919025\pi\) |
0.415893 | + | 0.909413i | \(0.363469\pi\) | |||||||
\(368\) | 4.54429 | − | 2.62365i | 0.236888 | − | 0.136767i | ||||
\(369\) | 1.44747 | − | 15.0548i | 0.0753525 | − | 0.783720i | ||||
\(370\) | −0.134232 | − | 0.0774990i | −0.00697840 | − | 0.00402898i | ||||
\(371\) | 13.8421 | + | 12.1132i | 0.718647 | + | 0.628885i | ||||
\(372\) | −8.60122 | + | 7.81390i | −0.445953 | + | 0.405132i | ||||
\(373\) | 1.42297 | − | 1.19401i | 0.0736784 | − | 0.0618235i | −0.605205 | − | 0.796070i | \(-0.706909\pi\) |
0.678883 | + | 0.734246i | \(0.262464\pi\) | |||||||
\(374\) | −2.82074 | − | 1.02667i | −0.145857 | − | 0.0530876i | ||||
\(375\) | 0.726003 | + | 1.77423i | 0.0374906 | + | 0.0916209i | ||||
\(376\) | 8.16716 | + | 1.44009i | 0.421189 | + | 0.0742670i | ||||
\(377\) | 26.6845 | 1.37432 | ||||||||
\(378\) | −13.2430 | + | 3.69081i | −0.681148 | + | 0.189835i | ||||
\(379\) | 2.24840 | 0.115492 | 0.0577462 | − | 0.998331i | \(-0.481609\pi\) | ||||
0.0577462 | + | 0.998331i | \(0.481609\pi\) | |||||||
\(380\) | 0.909742 | + | 0.160412i | 0.0466688 | + | 0.00822897i | ||||
\(381\) | 6.47348 | − | 8.36182i | 0.331646 | − | 0.428389i | ||||
\(382\) | −6.63323 | − | 2.41430i | −0.339385 | − | 0.123526i | ||||
\(383\) | −12.0632 | + | 10.1222i | −0.616399 | + | 0.517221i | −0.896669 | − | 0.442701i | \(-0.854020\pi\) |
0.280270 | + | 0.959921i | \(0.409576\pi\) | |||||||
\(384\) | 0.367621 | + | 1.69259i | 0.0187601 | + | 0.0863745i | ||||
\(385\) | −1.15391 | − | 1.00978i | −0.0588086 | − | 0.0514631i | ||||
\(386\) | −10.6258 | − | 6.13479i | −0.540838 | − | 0.312253i | ||||
\(387\) | −11.8335 | − | 17.2126i | −0.601529 | − | 0.874967i | ||||
\(388\) | 6.95416 | − | 4.01499i | 0.353044 | − | 0.203830i | ||||
\(389\) | 16.4621 | − | 19.6187i | 0.834661 | − | 0.994710i | −0.165304 | − | 0.986243i | \(-0.552860\pi\) |
0.999964 | − | 0.00846700i | \(-0.00269516\pi\) | |||||||
\(390\) | 0.503528 | − | 0.317752i | 0.0254971 | − | 0.0160900i | ||||
\(391\) | 2.96601 | − | 0.522988i | 0.149998 | − | 0.0264487i | ||||
\(392\) | −2.66501 | + | 6.47284i | −0.134603 | + | 0.326928i | ||||
\(393\) | 16.3517 | + | 8.60156i | 0.824833 | + | 0.433891i | ||||
\(394\) | −2.45880 | − | 2.06317i | −0.123872 | − | 0.103941i | ||||
\(395\) | −0.373164 | − | 0.646339i | −0.0187759 | − | 0.0325208i | ||||
\(396\) | 15.1893 | − | 3.93050i | 0.763292 | − | 0.197515i | ||||
\(397\) | −25.9260 | − | 14.9684i | −1.30119 | − | 0.751240i | −0.320579 | − | 0.947222i | \(-0.603877\pi\) |
−0.980608 | + | 0.195981i | \(0.937211\pi\) | |||||||
\(398\) | 13.5157 | − | 4.91932i | 0.677482 | − | 0.246583i | ||||
\(399\) | −37.4910 | + | 7.33166i | −1.87690 | + | 0.367042i | ||||
\(400\) | −3.82082 | + | 3.20604i | −0.191041 | + | 0.160302i | ||||
\(401\) | −2.24812 | + | 6.17665i | −0.112266 | + | 0.308447i | −0.983083 | − | 0.183159i | \(-0.941368\pi\) |
0.870818 | + | 0.491606i | \(0.163590\pi\) | |||||||
\(402\) | 0.0950228 | − | 0.698582i | 0.00473931 | − | 0.0348421i | ||||
\(403\) | −3.61401 | + | 20.4960i | −0.180026 | + | 1.02098i | ||||
\(404\) | 2.71738 | 0.135195 | ||||||||
\(405\) | −0.985017 | + | 0.156295i | −0.0489459 | + | 0.00776637i | ||||
\(406\) | −19.9419 | + | 10.9681i | −0.989701 | + | 0.544340i | ||||
\(407\) | −7.20392 | − | 1.27025i | −0.357085 | − | 0.0629637i | ||||
\(408\) | −0.133991 | + | 0.985066i | −0.00663355 | + | 0.0487681i | ||||
\(409\) | −12.1976 | + | 33.5128i | −0.603135 | + | 1.65710i | 0.141747 | + | 0.989903i | \(0.454728\pi\) |
−0.744882 | + | 0.667197i | \(0.767494\pi\) | |||||||
\(410\) | −0.359103 | − | 0.427962i | −0.0177348 | − | 0.0211355i | ||||
\(411\) | 26.7180 | + | 8.55043i | 1.31790 | + | 0.421762i | ||||
\(412\) | −4.26697 | − | 11.7234i | −0.210219 | − | 0.577571i | ||||
\(413\) | −0.733533 | + | 35.3421i | −0.0360948 | + | 1.73907i | ||||
\(414\) | −11.2264 | + | 11.0352i | −0.551746 | + | 0.542352i | ||||
\(415\) | −0.334422 | − | 0.579236i | −0.0164161 | − | 0.0284336i | ||||
\(416\) | 2.37632 | + | 1.99397i | 0.116509 | + | 0.0977624i | ||||
\(417\) | 8.66229 | − | 16.4671i | 0.424194 | − | 0.806398i | ||||
\(418\) | 42.9348 | − | 7.57056i | 2.10001 | − | 0.370288i | ||||
\(419\) | 4.26770 | + | 24.2033i | 0.208491 | + | 1.18241i | 0.891851 | + | 0.452329i | \(0.149407\pi\) |
−0.683361 | + | 0.730081i | \(0.739482\pi\) | |||||||
\(420\) | −0.245692 | + | 0.444429i | −0.0119885 | + | 0.0216859i | ||||
\(421\) | 9.69790 | + | 8.13750i | 0.472647 | + | 0.396598i | 0.847759 | − | 0.530382i | \(-0.177951\pi\) |
−0.375112 | + | 0.926979i | \(0.622396\pi\) | |||||||
\(422\) | −6.88478 | + | 3.97493i | −0.335146 | + | 0.193496i | ||||
\(423\) | −24.8025 | + | 1.95551i | −1.20594 | + | 0.0950799i | ||||
\(424\) | −3.47611 | + | 6.02080i | −0.168815 | + | 0.292396i | ||||
\(425\) | −2.69013 | + | 0.979128i | −0.130491 | + | 0.0474947i | ||||
\(426\) | −12.7118 | + | 2.76094i | −0.615888 | + | 0.133768i | ||||
\(427\) | −31.6050 | − | 12.2518i | −1.52947 | − | 0.592906i | ||||
\(428\) | −0.542804 | + | 1.49134i | −0.0262374 | + | 0.0720867i | ||||
\(429\) | 17.2016 | − | 22.2194i | 0.830502 | − | 1.07276i | ||||
\(430\) | −0.759847 | − | 0.133981i | −0.0366431 | − | 0.00646116i | ||||
\(431\) | − | 32.4385i | − | 1.56251i | −0.624215 | − | 0.781253i | \(-0.714581\pi\) | ||
0.624215 | − | 0.781253i | \(-0.285419\pi\) | |||||||
\(432\) | −2.33976 | − | 4.63956i | −0.112572 | − | 0.223221i | ||||
\(433\) | − | 14.0484i | − | 0.675123i | −0.941303 | − | 0.337562i | \(-0.890398\pi\) | ||
0.941303 | − | 0.337562i | \(-0.109602\pi\) | |||||||
\(434\) | −5.72368 | − | 16.8026i | −0.274745 | − | 0.806552i | ||||
\(435\) | −1.52810 | + | 0.625288i | −0.0732668 | + | 0.0299803i | ||||
\(436\) | −7.22847 | − | 2.63095i | −0.346181 | − | 0.126000i | ||||
\(437\) | −33.5086 | + | 28.1171i | −1.60293 | + | 1.34502i | ||||
\(438\) | 16.4936 | + | 18.1555i | 0.788096 | + | 0.867504i | ||||
\(439\) | 0.375011 | + | 1.03033i | 0.0178983 | + | 0.0491752i | 0.948320 | − | 0.317315i | \(-0.102781\pi\) |
−0.930422 | + | 0.366491i | \(0.880559\pi\) | |||||||
\(440\) | 0.289776 | − | 0.501906i | 0.0138145 | − | 0.0239274i | ||||
\(441\) | 2.87544 | − | 20.8022i | 0.136925 | − | 0.990581i | ||||
\(442\) | 0.890240 | + | 1.54194i | 0.0423444 | + | 0.0733426i | ||||
\(443\) | 5.14345 | − | 6.12973i | 0.244373 | − | 0.291232i | −0.629891 | − | 0.776684i | \(-0.716900\pi\) |
0.874264 | + | 0.485452i | \(0.161345\pi\) | |||||||
\(444\) | 0.0952820 | + | 2.42075i | 0.00452188 | + | 0.114884i | ||||
\(445\) | 0.148574 | + | 0.842608i | 0.00704310 | + | 0.0399434i | ||||
\(446\) | −0.603018 | − | 3.41989i | −0.0285537 | − | 0.161936i | ||||
\(447\) | 10.0775 | − | 0.396657i | 0.476651 | − | 0.0187612i | ||||
\(448\) | −2.59546 | − | 0.513398i | −0.122624 | − | 0.0242558i | ||||
\(449\) | −11.2056 | + | 6.46953i | −0.528823 | + | 0.305316i | −0.740537 | − | 0.672016i | \(-0.765429\pi\) |
0.211714 | + | 0.977332i | \(0.432095\pi\) | |||||||
\(450\) | 8.68744 | − | 12.1830i | 0.409530 | − | 0.574310i | ||||
\(451\) | −22.8335 | − | 13.1829i | −1.07519 | − | 0.620761i | ||||
\(452\) | 1.40984 | + | 3.87350i | 0.0663132 | + | 0.182194i | ||||
\(453\) | −9.81819 | − | 10.8075i | −0.461299 | − | 0.507779i | ||||
\(454\) | 9.74722 | + | 11.6163i | 0.457460 | + | 0.545179i | ||||
\(455\) | 0.139312 | + | 0.898763i | 0.00653106 | + | 0.0421346i | ||||
\(456\) | −5.46812 | − | 13.3632i | −0.256068 | − | 0.625788i | ||||
\(457\) | 2.85895 | − | 16.2139i | 0.133736 | − | 0.758456i | −0.841995 | − | 0.539485i | \(-0.818619\pi\) |
0.975731 | − | 0.218971i | \(-0.0702699\pi\) | |||||||
\(458\) | −7.97554 | −0.372672 | ||||||||
\(459\) | −0.351169 | − | 2.96167i | −0.0163912 | − | 0.138239i | ||||
\(460\) | 0.581482i | 0.0271117i | ||||||||
\(461\) | 6.49736 | − | 36.8483i | 0.302612 | − | 1.71620i | −0.331925 | − | 0.943306i | \(-0.607698\pi\) |
0.634537 | − | 0.772892i | \(-0.281191\pi\) | |||||||
\(462\) | −3.72229 | + | 23.6755i | −0.173177 | + | 1.10148i | ||||
\(463\) | −8.17143 | − | 2.97416i | −0.379759 | − | 0.138221i | 0.145086 | − | 0.989419i | \(-0.453654\pi\) |
−0.524844 | + | 0.851198i | \(0.675876\pi\) | |||||||
\(464\) | −5.52937 | − | 6.58964i | −0.256694 | − | 0.305916i | ||||
\(465\) | −0.273318 | − | 1.25840i | −0.0126748 | − | 0.0583570i | ||||
\(466\) | 11.4085 | − | 4.15236i | 0.528490 | − | 0.192355i | ||||
\(467\) | 9.23983 | − | 16.0038i | 0.427568 | − | 0.740570i | −0.569088 | − | 0.822276i | \(-0.692704\pi\) |
0.996656 | + | 0.0817066i | \(0.0260371\pi\) | |||||||
\(468\) | −8.40020 | − | 4.00524i | −0.388299 | − | 0.185142i | ||||
\(469\) | 0.921272 | + | 0.557701i | 0.0425404 | + | 0.0257522i | ||||
\(470\) | −0.590728 | + | 0.704002i | −0.0272482 | + | 0.0324732i | ||||
\(471\) | 9.80287 | + | 15.5342i | 0.451692 | + | 0.715778i | ||||
\(472\) | −13.1580 | + | 2.32010i | −0.605644 | + | 0.106791i | ||||
\(473\) | −35.8605 | + | 6.32318i | −1.64887 | + | 0.290740i | ||||
\(474\) | −5.43073 | + | 10.3239i | −0.249442 | + | 0.474192i | ||||
\(475\) | 26.7261 | − | 31.8510i | 1.22628 | − | 1.46142i | ||||
\(476\) | −1.29908 | − | 0.786411i | −0.0595433 | − | 0.0360451i | ||||
\(477\) | 5.57088 | − | 20.0989i | 0.255073 | − | 0.920265i | ||||
\(478\) | 12.7363 | − | 22.0599i | 0.582544 | − | 1.00900i | ||||
\(479\) | 1.63729 | − | 0.595925i | 0.0748097 | − | 0.0272285i | −0.304344 | − | 0.952562i | \(-0.598437\pi\) |
0.379154 | + | 0.925334i | \(0.376215\pi\) | |||||||
\(480\) | −0.182805 | − | 0.0585022i | −0.00834387 | − | 0.00267025i | ||||
\(481\) | 2.78897 | + | 3.32377i | 0.127166 | + | 0.151551i | ||||
\(482\) | −10.7095 | − | 3.89795i | −0.487806 | − | 0.177547i | ||||
\(483\) | −8.64284 | − | 22.4392i | −0.393263 | − | 1.02102i | ||||
\(484\) | 2.83943 | − | 16.1032i | 0.129065 | − | 0.731963i | ||||
\(485\) | 0.889845i | 0.0404058i | ||||||||
\(486\) | 10.2823 | + | 11.7164i | 0.466415 | + | 0.531467i | ||||
\(487\) | −39.3666 | −1.78387 | −0.891935 | − | 0.452163i | \(-0.850652\pi\) | ||||
−0.891935 | + | 0.452163i | \(0.850652\pi\) | |||||||
\(488\) | 2.22473 | − | 12.6171i | 0.100709 | − | 0.571148i | ||||
\(489\) | −14.8246 | − | 2.01647i | −0.670390 | − | 0.0911881i | ||||
\(490\) | −0.473530 | − | 0.614404i | −0.0213919 | − | 0.0277560i | ||||
\(491\) | −24.4458 | − | 29.1334i | −1.10323 | − | 1.31477i | −0.944890 | − | 0.327387i | \(-0.893832\pi\) |
−0.158335 | − | 0.987385i | \(-0.550613\pi\) | |||||||
\(492\) | −2.66148 | + | 8.31647i | −0.119989 | + | 0.374935i | ||||
\(493\) | −1.68867 | − | 4.63959i | −0.0760540 | − | 0.208957i | ||||
\(494\) | −22.3949 | − | 12.9297i | −1.00759 | − | 0.581733i | ||||
\(495\) | −0.464400 | + | 1.67549i | −0.0208732 | + | 0.0753075i | ||||
\(496\) | 5.81030 | − | 3.35458i | 0.260890 | − | 0.150625i | ||||
\(497\) | 3.85576 | − | 19.4926i | 0.172954 | − | 0.874363i | ||||
\(498\) | −4.86691 | + | 9.25205i | −0.218091 | + | 0.414594i | ||||
\(499\) | −1.35562 | − | 7.68811i | −0.0606859 | − | 0.344167i | −0.999999 | − | 0.00110686i | \(-0.999648\pi\) |
0.939313 | − | 0.343060i | \(-0.111463\pi\) | |||||||
\(500\) | −0.192193 | − | 1.08998i | −0.00859512 | − | 0.0487454i | ||||
\(501\) | −19.8811 | + | 12.5460i | −0.888222 | + | 0.560513i | ||||
\(502\) | −4.04579 | + | 4.82158i | −0.180572 | + | 0.215198i | ||||
\(503\) | −2.16662 | − | 3.75270i | −0.0966050 | − | 0.167325i | 0.813672 | − | 0.581324i | \(-0.197465\pi\) |
−0.910277 | + | 0.413999i | \(0.864132\pi\) | |||||||
\(504\) | 7.92394 | − | 0.459533i | 0.352960 | − | 0.0204692i | ||||
\(505\) | −0.150564 | + | 0.260784i | −0.00670001 | + | 0.0116048i | ||||
\(506\) | 9.38597 | + | 25.7877i | 0.417257 | + | 1.14640i | ||||
\(507\) | 5.71618 | − | 1.24152i | 0.253864 | − | 0.0551381i | ||||
\(508\) | −4.67697 | + | 3.92444i | −0.207507 | + | 0.174119i | ||||
\(509\) | 0.210305 | + | 0.0765449i | 0.00932162 | + | 0.00339279i | 0.346677 | − | 0.937985i | \(-0.387310\pi\) |
−0.337355 | + | 0.941377i | \(0.609532\pi\) | |||||||
\(510\) | −0.0871117 | − | 0.0674393i | −0.00385737 | − | 0.00298626i | ||||
\(511\) | −35.4671 | + | 12.0816i | −1.56897 | + | 0.534457i | ||||
\(512\) | − | 1.00000i | − | 0.0441942i | ||||||
\(513\) | 25.9243 | + | 34.7016i | 1.14459 | + | 1.53211i | ||||
\(514\) | − | 5.80620i | − | 0.256101i | ||||||
\(515\) | 1.36151 | + | 0.240071i | 0.0599952 | + | 0.0105788i | ||||
\(516\) | 4.56715 | + | 11.1614i | 0.201058 | + | 0.491352i | ||||
\(517\) | −14.8342 | + | 40.7565i | −0.652405 | + | 1.79247i | ||||
\(518\) | −3.45044 | − | 1.33757i | −0.151603 | − | 0.0587697i | ||||
\(519\) | −3.73247 | − | 4.10855i | −0.163837 | − | 0.180345i | ||||
\(520\) | −0.323026 | + | 0.117572i | −0.0141656 | + | 0.00515587i | ||||
\(521\) | 21.2763 | − | 36.8517i | 0.932133 | − | 1.61450i | 0.152464 | − | 0.988309i | \(-0.451279\pi\) |
0.779668 | − | 0.626192i | \(-0.215388\pi\) | |||||||
\(522\) | 21.0116 | + | 14.9830i | 0.919652 | + | 0.655786i | ||||
\(523\) | −4.18823 | + | 2.41808i | −0.183139 | + | 0.105735i | −0.588766 | − | 0.808303i | \(-0.700386\pi\) |
0.405628 | + | 0.914038i | \(0.367053\pi\) | |||||||
\(524\) | −8.17151 | − | 6.85671i | −0.356974 | − | 0.299537i | ||||
\(525\) | 11.7942 | + | 19.5786i | 0.514743 | + | 0.854479i | ||||
\(526\) | 2.25526 | + | 12.7902i | 0.0983341 | + | 0.557681i | ||||
\(527\) | 3.79232 | − | 0.668688i | 0.165196 | − | 0.0291285i | ||||
\(528\) | −9.05140 | + | 0.356268i | −0.393912 | + | 0.0155046i | ||||
\(529\) | −3.47336 | − | 2.91450i | −0.151016 | − | 0.126717i | ||||
\(530\) | −0.385207 | − | 0.667198i | −0.0167323 | − | 0.0289812i | ||||
\(531\) | 36.4715 | − | 16.6272i | 1.58273 | − | 0.721559i | ||||
\(532\) | 22.0507 | + | 0.457666i | 0.956018 | + | 0.0198424i | ||||
\(533\) | 5.34877 | + | 14.6956i | 0.231681 | + | 0.636538i | ||||
\(534\) | 9.89842 | − | 8.99237i | 0.428347 | − | 0.389138i | ||||
\(535\) | −0.113047 | − | 0.134724i | −0.00488745 | − | 0.00582464i | ||||
\(536\) | −0.139216 | + | 0.382493i | −0.00601322 | + | 0.0165212i | ||||
\(537\) | 1.30139 | − | 0.532521i | 0.0561592 | − | 0.0229800i | ||||
\(538\) | −4.71886 | − | 0.832062i | −0.203444 | − | 0.0358727i | ||||
\(539\) | −30.9176 | − | 19.6043i | −1.33172 | − | 0.844417i | ||||
\(540\) | 0.574895 | + | 0.0325233i | 0.0247395 | + | 0.00139958i | ||||
\(541\) | 20.8332 | 0.895687 | 0.447844 | − | 0.894112i | \(-0.352192\pi\) | ||||
0.447844 | + | 0.894112i | \(0.352192\pi\) | |||||||
\(542\) | 0.156743 | − | 0.888932i | 0.00673268 | − | 0.0381829i | ||||
\(543\) | 7.52700 | + | 5.82718i | 0.323015 | + | 0.250068i | ||||
\(544\) | 0.196308 | − | 0.539351i | 0.00841663 | − | 0.0231245i | ||||
\(545\) | 0.653003 | − | 0.547934i | 0.0279716 | − | 0.0234709i | ||||
\(546\) | 10.7180 | − | 9.33835i | 0.458686 | − | 0.399644i | ||||
\(547\) | −20.3530 | + | 7.40787i | −0.870230 | + | 0.316738i | −0.738260 | − | 0.674516i | \(-0.764352\pi\) |
−0.131970 | + | 0.991254i | \(0.542130\pi\) | |||||||
\(548\) | −14.0264 | − | 8.09816i | −0.599179 | − | 0.345936i | ||||
\(549\) | 3.02097 | + | 38.3162i | 0.128932 | + | 1.63530i | ||||
\(550\) | −13.0426 | − | 22.5904i | −0.556137 | − | 0.963258i | ||||
\(551\) | 54.9324 | + | 46.0937i | 2.34020 | + | 1.96366i | ||||
\(552\) | 7.68613 | − | 4.85034i | 0.327144 | − | 0.206444i | ||||
\(553\) | −11.1680 | − | 13.8847i | −0.474911 | − | 0.590438i | ||||
\(554\) | 16.4008 | − | 2.89190i | 0.696803 | − | 0.122865i | ||||
\(555\) | −0.237597 | − | 0.124984i | −0.0100854 | − | 0.00530529i | ||||
\(556\) | −6.90512 | + | 8.22920i | −0.292842 | + | 0.348996i | ||||
\(557\) | 5.42810 | − | 3.13392i | 0.229996 | − | 0.132788i | −0.380574 | − | 0.924750i | \(-0.624274\pi\) |
0.610570 | + | 0.791962i | \(0.290940\pi\) | |||||||
\(558\) | −14.3539 | + | 14.1095i | −0.607650 | + | 0.597304i | ||||
\(559\) | 18.7049 | + | 10.7993i | 0.791134 | + | 0.456761i | ||||
\(560\) | 0.193079 | − | 0.220638i | 0.00815908 | − | 0.00932365i | ||||
\(561\) | −4.95182 | − | 1.58471i | −0.209066 | − | 0.0669064i | ||||
\(562\) | −1.10399 | + | 0.926358i | −0.0465690 | + | 0.0390760i | ||||
\(563\) | −10.8730 | − | 3.95744i | −0.458241 | − | 0.166786i | 0.102577 | − | 0.994725i | \(-0.467291\pi\) |
−0.560818 | + | 0.827939i | \(0.689513\pi\) | |||||||
\(564\) | 14.2331 | + | 1.93602i | 0.599321 | + | 0.0815211i | ||||
\(565\) | −0.449852 | − | 0.0793210i | −0.0189254 | − | 0.00333706i | ||||
\(566\) | −7.45405 | −0.313317 | ||||||||
\(567\) | −22.6684 | + | 7.28986i | −0.951985 | + | 0.306145i | ||||
\(568\) | 7.51027 | 0.315124 | ||||||||
\(569\) | −11.2109 | − | 1.97679i | −0.469986 | − | 0.0828712i | −0.0663609 | − | 0.997796i | \(-0.521139\pi\) |
−0.403625 | + | 0.914924i | \(0.632250\pi\) | |||||||
\(570\) | 1.58543 | + | 0.215654i | 0.0664063 | + | 0.00903274i | ||||
\(571\) | 24.6671 | + | 8.97810i | 1.03229 | + | 0.375722i | 0.801951 | − | 0.597390i | \(-0.203795\pi\) |
0.230336 | + | 0.973111i | \(0.426018\pi\) | |||||||
\(572\) | −12.4279 | + | 10.4282i | −0.519635 | + | 0.436026i | ||||
\(573\) | −11.6447 | − | 3.72658i | −0.486463 | − | 0.155680i | ||||
\(574\) | −10.0376 | − | 8.78386i | −0.418962 | − | 0.366631i | ||||
\(575\) | 22.6657 | + | 13.0860i | 0.945224 | + | 0.545725i | ||||
\(576\) | 0.751548 | + | 2.90434i | 0.0313145 | + | 0.121014i | ||||
\(577\) | 32.1457 | − | 18.5594i | 1.33824 | − | 0.772636i | 0.351698 | − | 0.936114i | \(-0.385604\pi\) |
0.986547 | + | 0.163478i | \(0.0522711\pi\) | |||||||
\(578\) | −10.7156 | + | 12.7704i | −0.445712 | + | 0.531178i | ||||
\(579\) | −18.8081 | − | 9.89371i | −0.781636 | − | 0.411168i | ||||
\(580\) | 0.938771 | − | 0.165531i | 0.0389804 | − | 0.00687329i | ||||
\(581\) | −10.0085 | − | 12.4432i | −0.415223 | − | 0.516231i | ||||
\(582\) | 11.7621 | − | 7.42251i | 0.487556 | − | 0.307673i | ||||
\(583\) | −27.8528 | − | 23.3713i | −1.15355 | − | 0.967940i | ||||
\(584\) | −7.08086 | − | 12.2644i | −0.293008 | − | 0.507505i | ||||
\(585\) | 0.849815 | − | 0.584238i | 0.0351355 | − | 0.0241553i | ||||
\(586\) | −17.7043 | − | 10.2216i | −0.731358 | − | 0.422250i | ||||
\(587\) | 7.48319 | − | 2.72366i | 0.308864 | − | 0.112417i | −0.182938 | − | 0.983125i | \(-0.558561\pi\) |
0.491802 | + | 0.870707i | \(0.336338\pi\) | |||||||
\(588\) | −4.17142 | + | 11.3842i | −0.172027 | + | 0.469475i | ||||
\(589\) | −42.8438 | + | 35.9502i | −1.76535 | + | 1.48130i | ||||
\(590\) | 0.506395 | − | 1.39131i | 0.0208479 | − | 0.0572792i | ||||
\(591\) | −4.39601 | − | 3.40326i | −0.180828 | − | 0.139991i | ||||
\(592\) | 0.242882 | − | 1.37745i | 0.00998241 | − | 0.0566130i | ||||
\(593\) | −5.25522 | −0.215806 | −0.107903 | − | 0.994161i | \(-0.534414\pi\) | ||||
−0.107903 | + | 0.994161i | \(0.534414\pi\) | |||||||
\(594\) | 26.0206 | − | 7.83729i | 1.06764 | − | 0.321568i | ||||
\(595\) | 0.147450 | − | 0.0810983i | 0.00604487 | − | 0.00332471i | ||||
\(596\) | −5.73431 | − | 1.01111i | −0.234887 | − | 0.0414169i | ||||
\(597\) | 23.0567 | − | 9.43464i | 0.943648 | − | 0.386134i | ||||
\(598\) | 5.56722 | − | 15.2958i | 0.227661 | − | 0.625493i | ||||
\(599\) | 10.2641 | + | 12.2322i | 0.419378 | + | 0.499796i | 0.933827 | − | 0.357726i | \(-0.116448\pi\) |
−0.514448 | + | 0.857521i | \(0.672003\pi\) | |||||||
\(600\) | −6.39432 | + | 5.80902i | −0.261047 | + | 0.237152i | ||||
\(601\) | −6.46075 | − | 17.7508i | −0.263540 | − | 0.724069i | −0.998922 | − | 0.0464169i | \(-0.985220\pi\) |
0.735383 | − | 0.677652i | \(-0.237002\pi\) | |||||||
\(602\) | −18.4175 | − | 0.382258i | −0.750639 | − | 0.0155797i | ||||
\(603\) | 0.116868 | − | 1.21552i | 0.00475925 | − | 0.0494996i | ||||
\(604\) | 4.21503 | + | 7.30065i | 0.171507 | + | 0.297059i | ||||
\(605\) | 1.38808 | + | 1.16474i | 0.0564335 | + | 0.0473534i | ||||
\(606\) | 4.70300 | − | 0.185112i | 0.191046 | − | 0.00751968i | ||||
\(607\) | 32.1160 | − | 5.66292i | 1.30355 | − | 0.229851i | 0.521598 | − | 0.853191i | \(-0.325336\pi\) |
0.781951 | + | 0.623341i | \(0.214225\pi\) | |||||||
\(608\) | 1.44756 | + | 8.20952i | 0.0587063 | + | 0.332940i | ||||
\(609\) | −33.7665 | + | 20.3412i | −1.36829 | + | 0.824266i | ||||
\(610\) | 1.08758 | + | 0.912589i | 0.0440349 | + | 0.0369497i | ||||
\(611\) | 22.2793 | − | 12.8630i | 0.901324 | − | 0.520379i | ||||
\(612\) | −0.164796 | + | 1.71399i | −0.00666147 | + | 0.0692840i | ||||
\(613\) | 1.77579 | − | 3.07575i | 0.0717233 | − | 0.124228i | −0.827933 | − | 0.560826i | \(-0.810483\pi\) |
0.899657 | + | 0.436598i | \(0.143817\pi\) | |||||||
\(614\) | −0.528343 | + | 0.192301i | −0.0213222 | + | 0.00776065i | ||||
\(615\) | −0.650657 | − | 0.716216i | −0.0262370 | − | 0.0288806i | ||||
\(616\) | 5.00131 | − | 12.9015i | 0.201508 | − | 0.519815i | ||||
\(617\) | 5.64500 | − | 15.5095i | 0.227259 | − | 0.624389i | −0.772687 | − | 0.634787i | \(-0.781088\pi\) |
0.999946 | + | 0.0103984i | \(0.00330996\pi\) | |||||||
\(618\) | −8.18352 | − | 19.9992i | −0.329189 | − | 0.804485i | ||||
\(619\) | −36.9247 | − | 6.51083i | −1.48413 | − | 0.261692i | −0.627903 | − | 0.778291i | \(-0.716087\pi\) |
−0.856227 | + | 0.516599i | \(0.827198\pi\) | |||||||
\(620\) | 0.743478i | 0.0298588i | ||||||||
\(621\) | −18.6779 | + | 19.8635i | −0.749516 | + | 0.797096i | ||||
\(622\) | − | 10.2647i | − | 0.411577i | ||||||
\(623\) | 6.58690 | + | 19.3367i | 0.263899 | + | 0.774710i | ||||
\(624\) | 4.24856 | + | 3.28911i | 0.170078 | + | 0.131670i | ||||
\(625\) | −23.3194 | − | 8.48755i | −0.932775 | − | 0.339502i | ||||
\(626\) | 14.4625 | − | 12.1355i | 0.578037 | − | 0.485030i | ||||
\(627\) | 73.7920 | − | 16.0272i | 2.94697 | − | 0.640066i | ||||
\(628\) | −3.62717 | − | 9.96558i | −0.144740 | − | 0.397670i | ||||
\(629\) | 0.401404 | − | 0.695252i | 0.0160050 | − | 0.0277215i | ||||
\(630\) | −0.394947 | + | 0.785915i | −0.0157351 | + | 0.0313116i | ||||
\(631\) | 8.30649 | + | 14.3873i | 0.330676 | + | 0.572748i | 0.982645 | − | 0.185498i | \(-0.0593899\pi\) |
−0.651968 | + | 0.758246i | \(0.726057\pi\) | |||||||
\(632\) | 4.32909 | − | 5.15921i | 0.172202 | − | 0.205222i | ||||
\(633\) | −11.6448 | + | 7.34845i | −0.462838 | + | 0.292075i | ||||
\(634\) | −0.970490 | − | 5.50392i | −0.0385431 | − | 0.218589i | ||||
\(635\) | −0.117485 | − | 0.666289i | −0.00466224 | − | 0.0264409i | ||||
\(636\) | −5.60599 | + | 10.6571i | −0.222292 | + | 0.422580i | ||||
\(637\) | 6.57374 | + | 20.6955i | 0.260461 | + | 0.819986i | ||||
\(638\) | 38.9610 | − | 22.4941i | 1.54248 | − | 0.890551i | ||||
\(639\) | −21.8124 | + | 5.64433i | −0.862883 | + | 0.223286i | ||||
\(640\) | 0.0959690 | + | 0.0554077i | 0.00379351 | + | 0.00219018i | ||||
\(641\) | −11.6181 | − | 31.9203i | −0.458886 | − | 1.26078i | −0.926316 | − | 0.376748i | \(-0.877042\pi\) |
0.467430 | − | 0.884030i | \(-0.345180\pi\) | |||||||
\(642\) | −0.837844 | + | 2.61806i | −0.0330671 | + | 0.103327i | ||||
\(643\) | 0.338298 | + | 0.403168i | 0.0133412 | + | 0.0158994i | 0.772674 | − | 0.634803i | \(-0.218919\pi\) |
−0.759333 | + | 0.650703i | \(0.774474\pi\) | |||||||
\(644\) | 2.12654 | + | 13.7192i | 0.0837974 | + | 0.540613i | ||||
\(645\) | −1.32420 | − | 0.180121i | −0.0521404 | − | 0.00709226i | ||||
\(646\) | −0.830850 | + | 4.71198i | −0.0326893 | + | 0.185390i | ||||
\(647\) | 2.27585 | 0.0894729 | 0.0447365 | − | 0.998999i | \(-0.485755\pi\) | ||||
0.0447365 | + | 0.998999i | \(0.485755\pi\) | |||||||
\(648\) | −4.36550 | − | 7.87035i | −0.171493 | − | 0.309177i | ||||
\(649\) | − | 69.8761i | − | 2.74288i | ||||||
\(650\) | −2.68673 | + | 15.2372i | −0.105382 | + | 0.597651i | ||||
\(651\) | −11.0507 | − | 28.6906i | −0.433109 | − | 1.12447i | ||||
\(652\) | 8.11687 | + | 2.95430i | 0.317881 | + | 0.115699i | ||||
\(653\) | −3.00807 | − | 3.58487i | −0.117715 | − | 0.140287i | 0.703969 | − | 0.710231i | \(-0.251409\pi\) |
−0.821684 | + | 0.569944i | \(0.806965\pi\) | |||||||
\(654\) | −12.6896 | − | 4.06099i | −0.496203 | − | 0.158797i | ||||
\(655\) | 1.11080 | − | 0.404297i | 0.0434024 | − | 0.0157972i | ||||
\(656\) | 2.52070 | − | 4.36598i | 0.0984167 | − | 0.170463i | ||||
\(657\) | 29.7825 | + | 30.2984i | 1.16193 | + | 1.18205i | ||||
\(658\) | −11.3628 | + | 18.7703i | −0.442966 | + | 0.731741i | ||||
\(659\) | −6.65681 | + | 7.93328i | −0.259313 | + | 0.309037i | −0.879955 | − | 0.475057i | \(-0.842427\pi\) |
0.620642 | + | 0.784094i | \(0.286872\pi\) | |||||||
\(660\) | 0.467327 | − | 0.888394i | 0.0181907 | − | 0.0345807i | ||||
\(661\) | 3.45779 | − | 0.609701i | 0.134492 | − | 0.0237146i | −0.105997 | − | 0.994366i | \(-0.533803\pi\) |
0.240489 | + | 0.970652i | \(0.422692\pi\) | |||||||
\(662\) | −18.3166 | + | 3.22971i | −0.711895 | + | 0.125526i | ||||
\(663\) | 1.64579 | + | 2.60801i | 0.0639171 | + | 0.101287i | ||||
\(664\) | 3.87964 | − | 4.62358i | 0.150559 | − | 0.179430i | ||||
\(665\) | −1.26570 | + | 2.09082i | −0.0490817 | + | 0.0810787i | ||||
\(666\) | 0.329811 | + | 4.18313i | 0.0127799 | + | 0.162093i | ||||
\(667\) | −22.5691 | + | 39.0908i | −0.873878 | + | 1.51360i | ||||
\(668\) | 12.7542 | − | 4.64216i | 0.493476 | − | 0.179611i | ||||
\(669\) | −1.27662 | − | 5.87775i | −0.0493569 | − | 0.227247i | ||||
\(670\) | −0.0289938 | − | 0.0345535i | −0.00112013 | − | 0.00133492i | ||||
\(671\) | 62.9629 | + | 22.9166i | 2.43065 | + | 0.884686i | ||||
\(672\) | −4.52697 | − | 0.711737i | −0.174632 | − | 0.0274558i | ||||
\(673\) | 5.20534 | − | 29.5209i | 0.200651 | − | 1.13795i | −0.703487 | − | 0.710708i | \(-0.748375\pi\) |
0.904138 | − | 0.427240i | \(-0.140514\pi\) | |||||||
\(674\) | 28.3540i | 1.09215i | ||||||||
\(675\) | 14.2055 | − | 21.6770i | 0.546771 | − | 0.834348i | ||||
\(676\) | −3.37718 | −0.129892 | ||||||||
\(677\) | −2.77529 | + | 15.7395i | −0.106663 | + | 0.604917i | 0.883880 | + | 0.467714i | \(0.154922\pi\) |
−0.990543 | + | 0.137203i | \(0.956189\pi\) | |||||||
\(678\) | 2.70389 | + | 6.60787i | 0.103842 | + | 0.253774i | ||||
\(679\) | 3.25426 | + | 20.9946i | 0.124887 | + | 0.805699i | ||||
\(680\) | 0.0408840 | + | 0.0487237i | 0.00156783 | + | 0.00186847i | ||||
\(681\) | 17.6609 | + | 19.4404i | 0.676769 | + | 0.744959i | ||||
\(682\) | 12.0008 | + | 32.9720i | 0.459535 | + | 1.26256i | ||||
\(683\) | −2.97073 | − | 1.71515i | −0.113672 | − | 0.0656285i | 0.442086 | − | 0.896973i | \(-0.354239\pi\) |
−0.555758 | + | 0.831344i | \(0.687572\pi\) | |||||||
\(684\) | −10.3741 | − | 22.7553i | −0.396662 | − | 0.870071i | ||||
\(685\) | 1.55435 | − | 0.897402i | 0.0593885 | − | 0.0342879i | ||||
\(686\) | −13.4192 | − | 12.7642i | −0.512347 | − | 0.487340i | ||||
\(687\) | −13.8033 | + | 0.543306i | −0.526630 | + | 0.0207284i | ||||
\(688\) | −1.20905 | − | 6.85686i | −0.0460946 | − | 0.261415i | ||||
\(689\) | 3.74494 | + | 21.2386i | 0.142671 | + | 0.809127i | ||||
\(690\) | 0.0396115 | + | 1.00638i | 0.00150798 | + | 0.0383121i | ||||
\(691\) | −29.0085 | + | 34.5709i | −1.10353 | + | 1.31514i | −0.158796 | + | 0.987311i | \(0.550761\pi\) |
−0.944737 | + | 0.327829i | \(0.893683\pi\) | |||||||
\(692\) | 1.60238 | + | 2.77541i | 0.0609134 | + | 0.105505i | ||||
\(693\) | −4.82940 | + | 41.2290i | −0.183454 | + | 1.56616i | ||||
\(694\) | −15.5822 | + | 26.9892i | −0.591494 | + | 1.02450i | ||||
\(695\) | −0.407151 | − | 1.11864i | −0.0154441 | − | 0.0424324i | ||||
\(696\) | −10.0186 | − | 11.0281i | −0.379755 | − | 0.418019i | ||||
\(697\) | 2.21662 | − | 1.85996i | 0.0839604 | − | 0.0704511i | ||||
\(698\) | −8.30959 | − | 3.02444i | −0.314523 | − | 0.114477i | ||||
\(699\) | 19.4620 | − | 7.96371i | 0.736120 | − | 0.301215i | ||||
\(700\) | −4.25510 | − | 12.4914i | −0.160828 | − | 0.472131i | ||||
\(701\) | − | 16.9392i | − | 0.639785i | −0.947454 | − | 0.319893i | \(-0.896353\pi\) | ||
0.947454 | − | 0.319893i | \(-0.103647\pi\) | |||||||
\(702\) | −14.8112 | − | 6.35968i | −0.559011 | − | 0.240031i | ||||
\(703\) | 11.6598i | 0.439759i | ||||||||
\(704\) | 5.15042 | + | 0.908159i | 0.194114 | + | 0.0342275i | ||||
\(705\) | −0.974421 | + | 1.25867i | −0.0366988 | + | 0.0474041i | ||||
\(706\) | −3.00052 | + | 8.24387i | −0.112926 | + | 0.310262i | ||||
\(707\) | −2.59862 | + | 6.70345i | −0.0977312 | + | 0.252109i | ||||
\(708\) | −22.6146 | + | 4.91177i | −0.849907 | + | 0.184596i | ||||
\(709\) | −5.61321 | + | 2.04304i | −0.210808 | + | 0.0767280i | −0.445266 | − | 0.895398i | \(-0.646891\pi\) |
0.234458 | + | 0.972126i | \(0.424669\pi\) | |||||||
\(710\) | −0.416127 | + | 0.720753i | −0.0156170 | + | 0.0270494i | ||||
\(711\) | −8.69575 | + | 18.2376i | −0.326116 | + | 0.683964i | ||||
\(712\) | −6.68658 | + | 3.86050i | −0.250590 | + | 0.144678i | ||||
\(713\) | −26.9685 | − | 22.6293i | −1.00998 | − | 0.847474i | ||||
\(714\) | −2.30191 | − | 1.27255i | −0.0861467 | − | 0.0476242i | ||||
\(715\) | −0.312186 | − | 1.77049i | −0.0116751 | − | 0.0662127i | ||||
\(716\) | −0.799496 | + | 0.140973i | −0.0298786 | + | 0.00526840i | ||||
\(717\) | 20.5401 | − | 39.0469i | 0.767083 | − | 1.45823i | ||||
\(718\) | −19.9943 | − | 16.7772i | −0.746180 | − | 0.626119i | ||||
\(719\) | −21.9102 | − | 37.9496i | −0.817112 | − | 1.41528i | −0.907801 | − | 0.419401i | \(-0.862240\pi\) |
0.0906891 | − | 0.995879i | \(-0.471093\pi\) | |||||||
\(720\) | −0.320368 | − | 0.0887974i | −0.0119394 | − | 0.00330928i | ||||
\(721\) | 33.0008 | + | 0.684937i | 1.22901 | + | 0.0255084i | ||||
\(722\) | −17.2692 | − | 47.4467i | −0.642692 | − | 1.76578i | ||||
\(723\) | −18.8006 | − | 6.01667i | −0.699203 | − | 0.223762i | ||||
\(724\) | −3.53264 | − | 4.21004i | −0.131290 | − | 0.156465i | ||||
\(725\) | 14.6744 | − | 40.3177i | 0.544995 | − | 1.49736i | ||||
\(726\) | 3.81725 | − | 28.0634i | 0.141671 | − | 1.04153i | ||||
\(727\) | 7.39436 | + | 1.30383i | 0.274242 | + | 0.0483562i | 0.309078 | − | 0.951037i | \(-0.399980\pi\) |
−0.0348358 | + | 0.999393i | \(0.511091\pi\) | |||||||
\(728\) | −7.19135 | + | 3.95527i | −0.266529 | + | 0.146592i | ||||
\(729\) | 18.5938 | + | 19.5773i | 0.688660 | + | 0.725084i | ||||
\(730\) | 1.56934 | 0.0580838 | ||||||||
\(731\) | 0.693953 | − | 3.93560i | 0.0256668 | − | 0.145564i | ||||
\(732\) | 2.99087 | − | 21.9881i | 0.110546 | − | 0.812702i | ||||
\(733\) | 2.55240 | − | 7.01267i | 0.0942751 | − | 0.259019i | −0.883588 | − | 0.468266i | \(-0.844879\pi\) |
0.977863 | + | 0.209247i | \(0.0671012\pi\) | |||||||
\(734\) | 12.6008 | − | 10.5733i | 0.465104 | − | 0.390269i | ||||
\(735\) | −0.861398 | − | 1.03110i | −0.0317732 | − | 0.0380326i | ||||
\(736\) | −4.93085 | + | 1.79468i | −0.181754 | + | 0.0661529i | ||||
\(737\) | −1.84357 | − | 1.06439i | −0.0679088 | − | 0.0392071i | ||||
\(738\) | −4.03972 | + | 14.5747i | −0.148704 | + | 0.536502i | ||||
\(739\) | 12.7404 | + | 22.0669i | 0.468662 | + | 0.811746i | 0.999358 | − | 0.0358160i | \(-0.0114030\pi\) |
−0.530697 | + | 0.847562i | \(0.678070\pi\) | |||||||
\(740\) | 0.118735 | + | 0.0996308i | 0.00436480 | + | 0.00366250i | ||||
\(741\) | −39.6398 | − | 20.8519i | −1.45620 | − | 0.766016i | ||||
\(742\) | −11.5284 | − | 14.3328i | −0.423221 | − | 0.526174i | ||||
\(743\) | 16.0912 | − | 2.83732i | 0.590329 | − | 0.104091i | 0.129500 | − | 0.991579i | \(-0.458663\pi\) |
0.460830 | + | 0.887488i | \(0.347552\pi\) | |||||||
\(744\) | 9.82742 | − | 6.20161i | 0.360291 | − | 0.227362i | ||||
\(745\) | 0.414761 | − | 0.494293i | 0.0151957 | − | 0.0181095i | ||||
\(746\) | −1.60869 | + | 0.928775i | −0.0588982 | + | 0.0340049i | ||||
\(747\) | −7.79295 | + | 16.3442i | −0.285129 | + | 0.598002i | ||||
\(748\) | 2.59961 | + | 1.50088i | 0.0950511 | + | 0.0548778i | ||||
\(749\) | −3.15988 | − | 2.76520i | −0.115460 | − | 0.101038i | ||||
\(750\) | −0.406881 | − | 1.87335i | −0.0148572 | − | 0.0684049i | ||||
\(751\) | −18.7751 | + | 15.7542i | −0.685112 | + | 0.574877i | −0.917495 | − | 0.397747i | \(-0.869792\pi\) |
0.232383 | + | 0.972624i | \(0.425348\pi\) | |||||||
\(752\) | −7.79301 | − | 2.83642i | −0.284182 | − | 0.103434i | ||||
\(753\) | −6.67363 | + | 8.62037i | −0.243201 | + | 0.314144i | ||||
\(754\) | −26.2791 | − | 4.63371i | −0.957028 | − | 0.168750i | ||||
\(755\) | −0.934182 | −0.0339984 | ||||||||
\(756\) | 13.6827 | − | 1.33511i | 0.497637 | − | 0.0485575i | ||||
\(757\) | 38.0265 | 1.38210 | 0.691048 | − | 0.722808i | \(-0.257149\pi\) | ||||
0.691048 | + | 0.722808i | \(0.257149\pi\) | |||||||
\(758\) | −2.21424 | − | 0.390430i | −0.0804247 | − | 0.0141810i | ||||
\(759\) | 18.0011 | + | 43.9917i | 0.653398 | + | 1.59680i | ||||
\(760\) | −0.868066 | − | 0.315950i | −0.0314881 | − | 0.0114607i | ||||
\(761\) | −5.97901 | + | 5.01699i | −0.216739 | + | 0.181866i | −0.744693 | − | 0.667408i | \(-0.767404\pi\) |
0.527954 | + | 0.849273i | \(0.322959\pi\) | |||||||
\(762\) | −7.82714 | + | 7.11068i | −0.283548 | + | 0.257593i | ||||
\(763\) | 13.4028 | − | 15.3158i | 0.485213 | − | 0.554469i | ||||
\(764\) | 6.11321 | + | 3.52947i | 0.221168 | + | 0.127692i | ||||
\(765\) | −0.155359 | − | 0.110784i | −0.00561703 | − | 0.00400539i | ||||
\(766\) | 13.6376 | − | 7.87368i | 0.492747 | − | 0.284488i | ||||
\(767\) | −26.6413 | + | 31.7499i | −0.961962 | + | 1.14642i | ||||
\(768\) | −0.0681216 | − | 1.73071i | −0.00245813 | − | 0.0624516i | ||||
\(769\) | −17.0810 | + | 3.01184i | −0.615956 | + | 0.108610i | −0.472916 | − | 0.881107i | \(-0.656799\pi\) |
−0.143039 | + | 0.989717i | \(0.545688\pi\) | |||||||
\(770\) | 0.961031 | + | 1.19481i | 0.0346332 | + | 0.0430581i | ||||
\(771\) | −0.395528 | − | 10.0489i | −0.0142446 | − | 0.361901i | ||||
\(772\) | 9.39905 | + | 7.88674i | 0.338279 | + | 0.283850i | ||||
\(773\) | 4.20333 | + | 7.28038i | 0.151183 | + | 0.261857i | 0.931663 | − | 0.363324i | \(-0.118358\pi\) |
−0.780479 | + | 0.625181i | \(0.785025\pi\) | |||||||
\(774\) | 8.66475 | + | 19.0060i | 0.311448 | + | 0.683156i | ||||
\(775\) | 28.9801 | + | 16.7317i | 1.04100 | + | 0.601020i | ||||
\(776\) | −7.54571 | + | 2.74641i | −0.270875 | + | 0.0985905i | ||||
\(777\) | −6.06282 | − | 2.07991i | −0.217503 | − | 0.0746162i | ||||
\(778\) | −19.6187 | + | 16.4621i | −0.703366 | + | 0.590194i | ||||
\(779\) | −14.3737 | + | 39.4915i | −0.514992 | + | 1.41493i | ||||
\(780\) | −0.551055 | + | 0.225488i | −0.0197309 | + | 0.00807376i | ||||
\(781\) | −6.82052 | + | 38.6811i | −0.244057 | + | 1.38412i | ||||
\(782\) | −3.01177 | −0.107701 | ||||||||
\(783\) | 37.3856 | + | 24.4998i | 1.33605 | + | 0.875552i | ||||
\(784\) | 3.74852 | − | 5.91173i | 0.133876 | − | 0.211133i | ||||
\(785\) | 1.15736 | + | 0.204074i | 0.0413080 | + | 0.00728371i | ||||
\(786\) | −14.6096 | − | 11.3103i | −0.521107 | − | 0.403426i | ||||
\(787\) | 9.63149 | − | 26.4623i | 0.343326 | − | 0.943279i | −0.641097 | − | 0.767460i | \(-0.721520\pi\) |
0.984422 | − | 0.175819i | \(-0.0562575\pi\) | |||||||
\(788\) | 2.06317 | + | 2.45880i | 0.0734975 | + | 0.0875909i | ||||
\(789\) | 4.77450 | + | 21.9826i | 0.169977 | + | 0.782600i | ||||
\(790\) | 0.255259 | + | 0.701319i | 0.00908172 | + | 0.0249518i | ||||
\(791\) | −10.9037 | − | 0.226308i | −0.387690 | − | 0.00804659i | ||||
\(792\) | −15.6411 | + | 1.23319i | −0.555782 | + | 0.0438196i | ||||
\(793\) | −19.8714 | − | 34.4183i | −0.705654 | − | 1.22223i | ||||
\(794\) | 22.9329 | + | 19.2430i | 0.813857 | + | 0.682907i | ||||
\(795\) | −0.712132 | − | 1.12849i | −0.0252567 | − | 0.0400233i | ||||
\(796\) | −14.1646 | + | 2.49760i | −0.502052 | + | 0.0885253i | ||||
\(797\) | −1.37627 | − | 7.80520i | −0.0487499 | − | 0.276474i | 0.950682 | − | 0.310166i | \(-0.100385\pi\) |
−0.999432 | + | 0.0336918i | \(0.989274\pi\) | |||||||
\(798\) | 38.1945 | − | 0.710040i | 1.35207 | − | 0.0251351i | ||||
\(799\) | −3.64636 | − | 3.05966i | −0.128999 | − | 0.108243i | ||||
\(800\) | 4.31949 | − | 2.49386i | 0.152717 | − | 0.0881713i | ||||
\(801\) | 16.5187 | − | 16.2375i | 0.583661 | − | 0.573723i | ||||
\(802\) | 3.28653 | − | 5.69243i | 0.116051 | − | 0.201007i | ||||
\(803\) | 69.5974 | − | 25.3314i | 2.45604 | − | 0.893925i | ||||
\(804\) | −0.214887 | + | 0.671468i | −0.00757847 | + | 0.0236809i | ||||
\(805\) | −1.43445 | − | 0.556069i | −0.0505576 | − | 0.0195989i | ||||
\(806\) | 7.11820 | − | 19.5571i | 0.250728 | − | 0.688870i | ||||
\(807\) | −8.22366 | − | 1.11860i | −0.289486 | − | 0.0393767i | ||||
\(808\) | −2.67610 | − | 0.471868i | −0.0941448 | − | 0.0166003i | ||||
\(809\) | − | 6.26392i | − | 0.220228i | −0.993919 | − | 0.110114i | \(-0.964878\pi\) | ||
0.993919 | − | 0.110114i | \(-0.0351215\pi\) | |||||||
\(810\) | 0.997192 | + | 0.0171257i | 0.0350378 | + | 0.000601734i | ||||
\(811\) | 36.0858i | 1.26715i | 0.773683 | + | 0.633573i | \(0.218412\pi\) | ||||
−0.773683 | + | 0.633573i | \(0.781588\pi\) | |||||||
\(812\) | 21.5436 | − | 7.33864i | 0.756031 | − | 0.257536i | ||||
\(813\) | 0.210721 | − | 1.54916i | 0.00739030 | − | 0.0543315i | ||||
\(814\) | 6.87390 | + | 2.50189i | 0.240930 | + | 0.0876913i | ||||
\(815\) | −0.733258 | + | 0.615277i | −0.0256849 | + | 0.0215522i | ||||
\(816\) | 0.303011 | − | 0.946834i | 0.0106075 | − | 0.0331458i | ||||
\(817\) | 19.8514 | + | 54.5414i | 0.694514 | + | 1.90816i | ||||
\(818\) | 17.8318 | − | 30.8855i | 0.623473 | − | 1.07989i | ||||
\(819\) | 17.9135 | − | 16.8921i | 0.625949 | − | 0.590258i | ||||
\(820\) | 0.279332 | + | 0.483818i | 0.00975471 | + | 0.0168957i | ||||
\(821\) | −33.7656 | + | 40.2403i | −1.17843 | + | 1.40439i | −0.283039 | + | 0.959108i | \(0.591343\pi\) |
−0.895388 | + | 0.445286i | \(0.853102\pi\) | |||||||
\(822\) | −24.8273 | − | 13.0601i | −0.865953 | − | 0.455522i | ||||
\(823\) | −1.52213 | − | 8.63241i | −0.0530580 | − | 0.300907i | 0.946718 | − | 0.322063i | \(-0.104376\pi\) |
−0.999776 | + | 0.0211563i | \(0.993265\pi\) | |||||||
\(824\) | 2.16640 | + | 12.2863i | 0.0754701 | + | 0.428012i | ||||
\(825\) | −24.1118 | − | 38.2090i | −0.839466 | − | 1.33027i | ||||
\(826\) | 6.85948 | − | 34.6778i | 0.238672 | − | 1.20660i | ||||
\(827\) | −29.8761 | + | 17.2490i | −1.03889 | + | 0.599806i | −0.919520 | − | 0.393043i | \(-0.871422\pi\) |
−0.119375 | + | 0.992849i | \(0.538089\pi\) | |||||||
\(828\) | 12.9721 | − | 8.91813i | 0.450810 | − | 0.309927i | ||||
\(829\) | −16.8265 | − | 9.71480i | −0.584409 | − | 0.337409i | 0.178474 | − | 0.983945i | \(-0.442884\pi\) |
−0.762884 | + | 0.646536i | \(0.776217\pi\) | |||||||
\(830\) | 0.228758 | + | 0.628507i | 0.00794031 | + | 0.0218158i | ||||
\(831\) | 28.1880 | − | 6.12230i | 0.977833 | − | 0.212380i | ||||
\(832\) | −1.99397 | − | 2.37632i | −0.0691285 | − | 0.0823841i | ||||
\(833\) | 3.18229 | − | 2.45264i | 0.110260 | − | 0.0849788i | ||||
\(834\) | −11.3902 | + | 14.7128i | −0.394410 | + | 0.509461i | ||||
\(835\) | −0.261179 | + | 1.48122i | −0.00903849 | + | 0.0512598i | ||||
\(836\) | −43.5971 | −1.50784 | ||||||||
\(837\) | −23.8813 | + | 25.3973i | −0.825460 | + | 0.877860i | ||||
\(838\) | − | 24.5767i | − | 0.848988i | ||||||
\(839\) | −6.59635 | + | 37.4098i | −0.227731 | + | 1.29153i | 0.629663 | + | 0.776869i | \(0.283193\pi\) |
−0.857394 | + | 0.514660i | \(0.827918\pi\) | |||||||
\(840\) | 0.319134 | − | 0.395013i | 0.0110112 | − | 0.0136292i | ||||
\(841\) | 42.2836 | + | 15.3900i | 1.45806 | + | 0.530689i | ||||
\(842\) | −8.13750 | − | 9.69790i | −0.280437 | − | 0.334212i | ||||
\(843\) | −1.84758 | + | 1.67846i | −0.0636341 | + | 0.0578093i | ||||
\(844\) | 7.47042 | − | 2.71901i | 0.257142 | − | 0.0935922i | ||||
\(845\) | 0.187122 | − | 0.324105i | 0.00643720 | − | 0.0111495i | ||||
\(846\) | 24.7652 | + | 2.38111i | 0.851447 | + | 0.0818642i | ||||
\(847\) | 37.0093 | + | 22.4039i | 1.27166 | + | 0.769809i | ||||
\(848\) | 4.46880 | − | 5.32571i | 0.153459 | − | 0.182886i | ||||
\(849\) | −12.9008 | + | 0.507782i | −0.442754 | + | 0.0174270i | ||||
\(850\) | 2.81929 | − | 0.497116i | 0.0967008 | − | 0.0170510i | ||||
\(851\) | −7.22792 | + | 1.27448i | −0.247770 | + | 0.0436885i | ||||
\(852\) | 12.9981 | − | 0.511612i | 0.445308 | − | 0.0175275i | ||||
\(853\) | 18.8535 | − | 22.4687i | 0.645530 | − | 0.769313i | −0.339702 | − | 0.940533i | \(-0.610326\pi\) |
0.985233 | + | 0.171220i | \(0.0547708\pi\) | |||||||
\(854\) | 28.9973 | + | 17.5538i | 0.992268 | + | 0.600679i | ||||
\(855\) | 2.75861 | + | 0.265232i | 0.0943424 | + | 0.00907076i | ||||
\(856\) | 0.793527 | − | 1.37443i | 0.0271222 | − | 0.0469770i | ||||
\(857\) | 42.6441 | − | 15.5212i | 1.45670 | − | 0.530194i | 0.512243 | − | 0.858840i | \(-0.328815\pi\) |
0.944453 | + | 0.328646i | \(0.106592\pi\) | |||||||
\(858\) | −20.7987 | + | 18.8948i | −0.710054 | + | 0.645059i | ||||
\(859\) | 21.3590 | + | 25.4547i | 0.728760 | + | 0.868503i | 0.995451 | − | 0.0952797i | \(-0.0303745\pi\) |
−0.266690 | + | 0.963782i | \(0.585930\pi\) | |||||||
\(860\) | 0.725037 | + | 0.263892i | 0.0247236 | + | 0.00899864i | ||||
\(861\) | −17.9706 | − | 14.5185i | −0.612435 | − | 0.494791i | ||||
\(862\) | −5.63288 | + | 31.9457i | −0.191857 | + | 1.08807i | ||||
\(863\) | − | 18.4496i | − | 0.628033i | −0.949418 | − | 0.314017i | \(-0.898325\pi\) | ||
0.949418 | − | 0.314017i | \(-0.101675\pi\) | |||||||
\(864\) | 1.49856 | + | 4.97537i | 0.0509821 | + | 0.169266i | ||||
\(865\) | −0.355137 | −0.0120750 | ||||||||
\(866\) | −2.43948 | + | 13.8350i | −0.0828969 | + | 0.470132i | ||||
\(867\) | −17.6757 | + | 22.8318i | −0.600299 | + | 0.775409i | ||||
\(868\) | 2.71898 | + | 17.5413i | 0.0922880 | + | 0.595389i | ||||
\(869\) | 22.6406 | + | 26.9820i | 0.768030 | + | 0.915303i | ||||
\(870\) | 1.61347 | − | 0.350436i | 0.0547016 | − | 0.0118809i | ||||
\(871\) | 0.431857 | + | 1.18652i | 0.0146329 | + | 0.0402036i | ||||
\(872\) | 6.66179 | + | 3.84619i | 0.225597 | + | 0.130248i | ||||
\(873\) | 19.8512 | − | 13.6475i | 0.671862 | − | 0.461897i | ||||
\(874\) | 37.8820 | − | 21.8712i | 1.28138 | − | 0.739804i | ||||
\(875\) | 2.87264 | + | 0.568226i | 0.0971130 | + | 0.0192095i | ||||
\(876\) | −13.0904 | − | 20.7438i | −0.442283 | − | 0.700867i | ||||
\(877\) | −1.84693 | − | 10.4745i | −0.0623663 | − | 0.353697i | −0.999982 | − | 0.00602319i | \(-0.998083\pi\) |
0.937616 | − | 0.347674i | \(-0.113028\pi\) | |||||||
\(878\) | −0.190398 | − | 1.07980i | −0.00642562 | − | 0.0364415i | ||||
\(879\) | −31.3373 | − | 16.4846i | −1.05698 | − | 0.556010i | ||||
\(880\) | −0.372528 | + | 0.443962i | −0.0125579 | + | 0.0149660i | ||||
\(881\) | −2.32996 | − | 4.03561i | −0.0784984 | − | 0.135963i | 0.824104 | − | 0.566439i | \(-0.191679\pi\) |
−0.902602 | + | 0.430476i | \(0.858346\pi\) | |||||||
\(882\) | −6.44402 | + | 19.9869i | −0.216981 | + | 0.672993i | ||||
\(883\) | −9.67800 | + | 16.7628i | −0.325691 | + | 0.564113i | −0.981652 | − | 0.190682i | \(-0.938930\pi\) |
0.655961 | + | 0.754795i | \(0.272263\pi\) | |||||||
\(884\) | −0.608960 | − | 1.67310i | −0.0204815 | − | 0.0562726i | ||||
\(885\) | 0.781645 | − | 2.44245i | 0.0262747 | − | 0.0821020i | ||||
\(886\) | −6.12973 | + | 5.14345i | −0.205932 | + | 0.172798i | ||||
\(887\) | −26.6593 | − | 9.70320i | −0.895133 | − | 0.325802i | −0.146832 | − | 0.989161i | \(-0.546908\pi\) |
−0.748301 | + | 0.663360i | \(0.769130\pi\) | |||||||
\(888\) | 0.326525 | − | 2.40052i | 0.0109575 | − | 0.0805562i | ||||
\(889\) | −5.20857 | − | 15.2905i | −0.174690 | − | 0.512825i | ||||
\(890\) | − | 0.855606i | − | 0.0286800i | ||||||
\(891\) | 44.5002 | − | 15.3366i | 1.49081 | − | 0.513797i | ||||
\(892\) | 3.47264i | 0.116273i | ||||||||
\(893\) | 68.0828 | + | 12.0048i | 2.27830 | + | 0.401726i | ||||
\(894\) | −9.99332 | − | 1.35932i | −0.334226 | − | 0.0454623i | ||||
\(895\) | 0.0307693 | − | 0.0845378i | 0.00102850 | − | 0.00282579i | ||||
\(896\) | 2.46688 | + | 0.956296i | 0.0824127 | + | 0.0319476i | ||||
\(897\) | 8.59328 | − | 26.8519i | 0.286921 | − | 0.896559i | ||||
\(898\) | 12.1587 | − | 4.42542i | 0.405742 | − | 0.147678i | ||||
\(899\) | −28.8566 | + | 49.9811i | −0.962422 | + | 1.66696i | ||||
\(900\) | −10.6710 | + | 10.4893i | −0.355700 | + | 0.349644i | ||||
\(901\) | 3.45573 | − | 1.99517i | 0.115127 | − | 0.0664687i | ||||
\(902\) | 20.1974 | + | 16.9477i | 0.672501 | + | 0.564295i | ||||
\(903\) | −31.9013 | + | 0.593049i | −1.06161 | + | 0.0197354i | ||||
\(904\) | −0.715794 | − | 4.05947i | −0.0238069 | − | 0.135016i | ||||
\(905\) | 0.599769 | − | 0.105755i | 0.0199370 | − | 0.00351543i | ||||
\(906\) | 7.79234 | + | 12.3482i | 0.258883 | + | 0.410241i | ||||
\(907\) | −8.48697 | − | 7.12141i | −0.281805 | − | 0.236463i | 0.490918 | − | 0.871206i | \(-0.336661\pi\) |
−0.772723 | + | 0.634743i | \(0.781106\pi\) | |||||||
\(908\) | −7.58199 | − | 13.1324i | −0.251617 | − | 0.435814i | ||||
\(909\) | 8.12692 | − | 0.640752i | 0.269553 | − | 0.0212524i | ||||
\(910\) | 0.0188727 | − | 0.909300i | 0.000625624 | − | 0.0301430i | ||||
\(911\) | −0.363833 | − | 0.999623i | −0.0120543 | − | 0.0331190i | 0.933520 | − | 0.358527i | \(-0.116721\pi\) |
−0.945574 | + | 0.325408i | \(0.894499\pi\) | |||||||
\(912\) | 3.06455 | + | 14.1097i | 0.101478 | + | 0.467219i | ||||
\(913\) | 20.2900 | + | 24.1807i | 0.671502 | + | 0.800266i | ||||
\(914\) | −5.63104 | + | 15.4712i | −0.186258 | + | 0.511740i | ||||
\(915\) | 1.94446 | + | 1.50534i | 0.0642817 | + | 0.0497650i | ||||
\(916\) | 7.85437 | + | 1.38494i | 0.259516 | + | 0.0457596i | ||||
\(917\) | 24.7291 | − | 13.6011i | 0.816625 | − | 0.449147i | ||||
\(918\) | −0.168453 | + | 2.97765i | −0.00555979 | + | 0.0982771i | ||||
\(919\) | −17.6782 | −0.583150 | −0.291575 | − | 0.956548i | \(-0.594179\pi\) | ||||
−0.291575 | + | 0.956548i | \(0.594179\pi\) | |||||||
\(920\) | 0.100973 | − | 0.572648i | 0.00332899 | − | 0.0188796i | ||||
\(921\) | −0.901309 | + | 0.368809i | −0.0296992 | + | 0.0121527i | ||||
\(922\) | −12.7973 | + | 35.1603i | −0.421456 | + | 1.15794i | ||||
\(923\) | 17.8468 | − | 14.9753i | 0.587435 | − | 0.492916i | ||||
\(924\) | 7.77695 | − | 22.6694i | 0.255843 | − | 0.745769i | ||||
\(925\) | 6.55562 | − | 2.38605i | 0.215547 | − | 0.0784528i | ||||
\(926\) | 7.53083 | + | 4.34793i | 0.247478 | + | 0.142882i | ||||
\(927\) | −15.5257 | − | 34.0553i | −0.509930 | − | 1.11852i | ||||
\(928\) | 4.30108 | + | 7.44969i | 0.141190 | + | 0.244548i | ||||
\(929\) | −3.66691 | − | 3.07690i | −0.120307 | − | 0.100950i | 0.580649 | − | 0.814154i | \(-0.302799\pi\) |
−0.700957 | + | 0.713204i | \(0.747243\pi\) | |||||||
\(930\) | 0.0506469 | + | 1.28675i | 0.00166078 | + | 0.0421940i | ||||
\(931\) | −22.2160 | + | 53.9587i | −0.728099 | + | 1.76843i | ||||
\(932\) | −11.9563 | + | 2.10821i | −0.391640 | + | 0.0690567i | ||||
\(933\) | −0.699248 | − | 17.7652i | −0.0228924 | − | 0.581608i | ||||
\(934\) | −11.8785 | + | 14.1562i | −0.388676 | + | 0.463206i | ||||
\(935\) | −0.288077 | + | 0.166321i | −0.00942112 | + | 0.00543929i | ||||
\(936\) | 7.57708 | + | 5.40307i | 0.247665 | + | 0.176605i | ||||
\(937\) | −2.91297 | − | 1.68181i | −0.0951627 | − | 0.0549422i | 0.451663 | − | 0.892188i | \(-0.350831\pi\) |
−0.546826 | + | 0.837246i | \(0.684164\pi\) | |||||||
\(938\) | −0.810432 | − | 0.709206i | −0.0264616 | − | 0.0231564i | ||||
\(939\) | 24.2037 | − | 21.9882i | 0.789857 | − | 0.717557i | ||||
\(940\) | 0.704002 | − | 0.590728i | 0.0229620 | − | 0.0192674i | ||||
\(941\) | −21.8920 | − | 7.96802i | −0.713658 | − | 0.259750i | −0.0404267 | − | 0.999183i | \(-0.512872\pi\) |
−0.673231 | + | 0.739432i | \(0.735094\pi\) | |||||||
\(942\) | −6.95646 | − | 17.0004i | −0.226654 | − | 0.553904i | ||||
\(943\) | −26.0518 | − | 4.59364i | −0.848364 | − | 0.149590i | ||||
\(944\) | 13.3609 | 0.434862 | ||||||||
\(945\) | −0.630001 | + | 1.38710i | −0.0204939 | + | 0.0451222i | ||||
\(946\) | 36.4138 | 1.18391 | ||||||||
\(947\) | 17.6293 | + | 3.10851i | 0.572874 | + | 0.101013i | 0.452578 | − | 0.891725i | \(-0.350505\pi\) |
0.120296 | + | 0.992738i | \(0.461616\pi\) | |||||||
\(948\) | 7.14095 | − | 9.22401i | 0.231927 | − | 0.299582i | ||||
\(949\) | −41.2813 | − | 15.0251i | −1.34005 | − | 0.487737i | ||||
\(950\) | −31.8510 | + | 26.7261i | −1.03338 | + | 0.867110i | ||||
\(951\) | −2.05457 | − | 9.45959i | −0.0666241 | − | 0.306748i | ||||
\(952\) | 1.14279 | + | 1.00005i | 0.0370379 | + | 0.0324117i | ||||
\(953\) | −6.51472 | − | 3.76127i | −0.211032 | − | 0.121840i | 0.390759 | − | 0.920493i | \(-0.372213\pi\) |
−0.601791 | + | 0.798654i | \(0.705546\pi\) | |||||||
\(954\) | −8.97638 | + | 18.8262i | −0.290621 | + | 0.609520i | ||||
\(955\) | −0.677439 | + | 0.391119i | −0.0219214 | + | 0.0126563i | ||||
\(956\) | −16.3734 | + | 19.5131i | −0.529555 | + | 0.631099i | ||||
\(957\) | 65.8979 | − | 41.5849i | 2.13018 | − | 1.34425i | ||||
\(958\) | −1.71590 | + | 0.302559i | −0.0554381 | + | 0.00977524i | ||||
\(959\) | 33.3906 | − | 26.8573i | 1.07824 | − | 0.867267i | ||||
\(960\) | 0.169869 | + | 0.0893572i | 0.00548250 | + | 0.00288399i | ||||
\(961\) | −10.7344 | − | 9.00719i | −0.346270 | − | 0.290555i | ||||
\(962\) | −2.16944 | − | 3.75757i | −0.0699454 | − | 0.121149i | ||||
\(963\) | −1.27172 | + | 4.58818i | −0.0409806 | + | 0.147852i | ||||
\(964\) | 9.86996 | + | 5.69842i | 0.317890 | + | 0.183534i | ||||
\(965\) | −1.27766 | + | 0.465031i | −0.0411294 | + | 0.0149699i | ||||
\(966\) | 4.61500 | + | 23.5991i | 0.148485 | + | 0.759290i | ||||
\(967\) | 33.9524 | − | 28.4894i | 1.09184 | − | 0.916159i | 0.0949861 | − | 0.995479i | \(-0.469719\pi\) |
0.996849 | + | 0.0793200i | \(0.0252749\pi\) | |||||||
\(968\) | −5.59258 | + | 15.3655i | −0.179752 | + | 0.493865i | ||||
\(969\) | −1.11697 | + | 8.21168i | −0.0358823 | + | 0.263797i | ||||
\(970\) | 0.154520 | − | 0.876327i | 0.00496134 | − | 0.0281372i | ||||
\(971\) | −31.2743 | −1.00364 | −0.501819 | − | 0.864972i | \(-0.667336\pi\) | ||||
−0.501819 | + | 0.864972i | \(0.667336\pi\) | |||||||
\(972\) | −8.09156 | − | 13.3239i | −0.259537 | − | 0.427365i | ||||
\(973\) | −13.6971 | − | 24.9037i | −0.439110 | − | 0.798375i | ||||
\(974\) | 38.7685 | + | 6.83594i | 1.24222 | + | 0.219038i | ||||
\(975\) | −3.61196 | + | 26.5542i | −0.115675 | + | 0.850414i | ||||
\(976\) | −4.38186 | + | 12.0391i | −0.140260 | + | 0.385361i | ||||
\(977\) | 7.60548 | + | 9.06386i | 0.243321 | + | 0.289979i | 0.873859 | − | 0.486180i | \(-0.161610\pi\) |
−0.630538 | + | 0.776159i | \(0.717166\pi\) | |||||||
\(978\) | 14.2492 | + | 4.56010i | 0.455639 | + | 0.145816i | ||||
\(979\) | −13.8107 | − | 37.9447i | −0.441393 | − | 1.21272i | ||||
\(980\) | 0.359646 | + | 0.687298i | 0.0114885 | + | 0.0219549i | ||||
\(981\) | −22.2387 | − | 6.16397i | −0.710027 | − | 0.196800i | ||||
\(982\) | 19.0155 | + | 32.9358i | 0.606809 | + | 1.05102i | ||||
\(983\) | 11.0451 | + | 9.26797i | 0.352285 | + | 0.295602i | 0.801707 | − | 0.597717i | \(-0.203925\pi\) |
−0.449422 | + | 0.893320i | \(0.648370\pi\) | |||||||
\(984\) | 4.06518 | − | 7.72796i | 0.129593 | − | 0.246358i | ||||
\(985\) | −0.350284 | + | 0.0617645i | −0.0111610 | + | 0.00196798i | ||||
\(986\) | 0.857361 | + | 4.86234i | 0.0273039 | + | 0.154848i | ||||
\(987\) | −18.3870 | + | 33.2599i | −0.585264 | + | 1.05868i | ||||
\(988\) | 19.8094 | + | 16.6221i | 0.630221 | + | 0.528818i | ||||
\(989\) | −31.6403 | + | 18.2675i | −1.00610 | + | 0.580874i | ||||
\(990\) | 0.748289 | − | 1.56939i | 0.0237822 | − | 0.0498785i | ||||
\(991\) | 21.6796 | − | 37.5502i | 0.688675 | − | 1.19282i | −0.283591 | − | 0.958945i | \(-0.591526\pi\) |
0.972267 | − | 0.233876i | \(-0.0751408\pi\) | |||||||
\(992\) | −6.30454 | + | 2.29466i | −0.200169 | + | 0.0728557i | ||||
\(993\) | −31.4807 | + | 6.83745i | −0.999011 | + | 0.216980i | ||||
\(994\) | −7.18204 | + | 18.5269i | −0.227800 | + | 0.587639i | ||||
\(995\) | 0.545137 | − | 1.49775i | 0.0172820 | − | 0.0474819i | ||||
\(996\) | 6.39957 | − | 8.26636i | 0.202778 | − | 0.261930i | ||||
\(997\) | −9.47320 | − | 1.67038i | −0.300019 | − | 0.0529015i | 0.0216122 | − | 0.999766i | \(-0.493120\pi\) |
−0.321631 | + | 0.946865i | \(0.604231\pi\) | |||||||
\(998\) | 7.80671i | 0.247117i | ||||||||
\(999\) | 0.855769 | + | 7.21732i | 0.0270753 | + | 0.228346i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 378.2.z.a.83.1 | yes | 144 | |
7.6 | odd | 2 | inner | 378.2.z.a.83.12 | yes | 144 | |
27.14 | odd | 18 | inner | 378.2.z.a.41.12 | yes | 144 | |
189.41 | even | 18 | inner | 378.2.z.a.41.1 | ✓ | 144 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
378.2.z.a.41.1 | ✓ | 144 | 189.41 | even | 18 | inner | |
378.2.z.a.41.12 | yes | 144 | 27.14 | odd | 18 | inner | |
378.2.z.a.83.1 | yes | 144 | 1.1 | even | 1 | trivial | |
378.2.z.a.83.12 | yes | 144 | 7.6 | odd | 2 | inner |